Test: Angulos directores en R3 (ángulos - 3d - vectores


Angulos directores en R3Version en ligne Cálculo de los ángulos directores conociendo las componentes del vector par Julio Arreola 1 Calcula los ángulos directores del vector V = (-31, -5, 20) a α = 146.38, β = 97.72, δ = 57.51 b α = 130.94, β = 103.45, δ = 44.05 c α = 48.27, β = 93.37, δ = 138.07 d α = 84.51, β = 144.41, δ = 54.97 2 Calcula los ángulos directores del vector V = (21, 12, -24) a α = 59.34, β = 110.67, δ = 38.33 b α = 51.95, β = 69.38, δ = 134.78 c α = 79.46, β = 167.3, δ = 83 d α = 85.75, β = 42.16, δ = 48.15 3 Calcula los ángulos directores del vector V = (-6, 19, -4) a α = 122.11, β = 139.83, δ = 111.44 b α = 64.79, β = 72.28, δ = 148.43 c α = 107.17, β = 20.78, δ = 101.35 d α = 104.52, β = 92.05, δ = 165.32 4 Calcula los ángulos directores del vector V = (-8, -3, 10) a α = 75.05, β = 110.12, δ = 154.54 b α = 14.43, β = 77.41, δ = 96.95 c α = 100.97, β = 137.2, δ = 49.29 d α = 127.46, β = 103.18, δ = 40.51 5 Calcula los ángulos directores del vector V = (2, 8, 23) a α = 85.3, β = 70.89, δ = 19.72 b α = 37.43, β = 88.66, δ = 52.61 c α = 155.7, β = 65.7, δ = 90 d α = 159.16, β = 75.43, δ = 104.57 6 Calcula los ángulos directores del vector V = (-29, 2, 11) a α = 121.53, β = 148.19, δ = 93.75 b α = 158.92, β = 86.31, δ = 69.27 c α = 83.89, β = 173.56, δ = 92.03 d α = 137.28, β = 93.37, δ = 47.48 7 Calcula los ángulos directores del vector V = (-33, 16, 18) a α = 25.46, β = 90, δ = 64.54 b α = 42.03, β = 56.15, δ = 111.8 c α = 143.88, β = 66.94, δ = 63.86 d α = 92.31, β = 46.68, δ = 136.59 8 Calcula los ángulos directores del vector V = (33, 7, 19) a α = 75.29, β = 27.25, δ = 67.6 b α = 101.33, β = 162.64, δ = 77.02 c α = 148.22, β = 109.21, δ = 114.29 d α = 31.53, β = 79.58, δ = 60.61 9 Calcula los ángulos directores del vector V = (-18, 6, -4) a α = 158.17, β = 71.98, δ = 101.9 b α = 131.87, β = 61.53, δ = 124.9 c α = 33.12, β = 94.65, δ = 122.71 d α = 54.53, β = 144.33, δ = 93.33 10 Calcula los ángulos directores del vector V = (-18, 7, -14) a α = 115.5, β = 113.81, δ = 143.83 b α = 138.99, β = 72.94, δ = 125.94 c α = 120.65, β = 149.35, δ = 90 d α = 67.72, β = 150.05, δ = 71.04 11 Calcula los ángulos directores del vector V = (29, -22, 5) a α = 146.02, β = 56.44, δ = 85.24 b α = 98.91, β = 41.56, δ = 49.83 c α = 37.88, β = 126.78, δ = 82.18 d α = 137.23, β = 47.71, δ = 95.26 12 Calcula los ángulos directores del vector V = (-15, -39, 5) a α = 76.58, β = 150.46, δ = 115.79 b α = 74.3, β = 53.03, δ = 41.26 c α = 144.42, β = 77.83, δ = 122.84 d α = 110.88, β = 157.93, δ = 83.18 13 Calcula los ángulos directores del vector V = (-33, 21, 17) a α = 140.69, β = 60.5, δ = 66.51 b α = 90, β = 10.62, δ = 100.62 c α = 53.4, β = 72.65, δ = 138.19 d α = 102.5, β = 85.86, δ = 166.82 14 Calcula los ángulos directores del vector V = (15, 2, -3) a α = 60.74, β = 136.27, δ = 119.26 b α = 13.52, β = 82.55, δ = 101.21 c α = 56.35, β = 73.92, δ = 38.28 d α = 43.88, β = 96.21, δ = 133.21 15 Calcula los ángulos directores del vector V = (14, 23, -32) a α = 86.63, β = 61.98, δ = 151.74 b α = 100.88, β = 36.65, δ = 55.51 c α = 70.44, β = 56.64, δ = 139.92 d α = 61.7, β = 144.36, δ = 109.79 16 Calcula los ángulos directores del vector V = (-17, -31, 19) a α = 25.39, β = 97.08, δ = 114.25 b α = 148.44, β = 98.65, δ = 120.08 c α = 50.72, β = 39.76, δ = 84.81 d α = 115.06, β = 140.57, δ = 61.75 17 Calcula los ángulos directores del vector V = (13, -6, -11) a α = 43.95, β = 109.41, δ = 127.53 b α = 52.15, β = 46.35, δ = 67.45 c α = 64.93, β = 27.15, δ = 99.76 d α = 42.67, β = 98.46, δ = 48.57 18 Calcula los ángulos directores del vector V = (-33, -10, -4) a α = 13.26, β = 76.87, δ = 91.86 b α = 161.92, β = 106.74, δ = 96.62 c α = 120.51, β = 61.45, δ = 44.21 d α = 8.97, β = 81.03, δ = 90 19 Calcula los ángulos directores del vector V = (-5, -7, 1) a α = 72.84, β = 50.79, δ = 135.76 b α = 59.77, β = 65.19, δ = 40.95 c α = 125.26, β = 143.93, δ = 83.37 d α = 102.9, β = 77.1, δ = 161.59 20 Calcula los ángulos directores del vector V = (-36, 8, -1) a α = 16.41, β = 86.07, δ = 74.09 b α = 132.77, β = 43.31, δ = 84.43 c α = 35.34, β = 97.21, δ = 124.38 d α = 167.38, β = 77.48, δ = 91.55 21 Calcula los ángulos directores del vector V = (-19, 9, -17) a α = 134.65, β = 70.56, δ = 128.96 b α = 134.65, β = 76.68, δ = 91.47 c α = 166.6, β = 70.56, δ = 91.47 d α = 166.6, β = 76.68, δ = 128.96 22 Calcula los ángulos directores del vector V = (24, -2, 22) a α = 16.41, β = 86.07, δ = 47.59 b α = 42.63, β = 93.52, δ = 47.59 c α = 42.63, β = 86.07, δ = 105.91 d α = 16.41, β = 93.52, δ = 105.91 23 Calcula los ángulos directores del vector V = (-17, -8, 12) a α = 115.88, β = 111.03, δ = 29.21 b α = 115.88, β = 102.6, δ = 57.43 c α = 139.69, β = 111.03, δ = 57.43 d α = 139.69, β = 102.6, δ = 29.21 24 Calcula los ángulos directores del vector V = (17, 8, -15) a α = 45, β = 67.08, δ = 23.02 b α = 92.03, β = 70.56, δ = 23.02 c α = 92.03, β = 67.08, δ = 128.6 d α = 45, β = 70.56, δ = 128.6 25 Calcula los ángulos directores del vector V = (-27, 36, -14) a α = 124.95, β = 40.19, δ = 107.28 b α = 106.08, β = 123.65, δ = 107.28 c α = 106.08, β = 40.19, δ = 141.72 d α = 124.95, β = 123.65, δ = 141.72 26 Calcula los ángulos directores del vector V = (-8, 15, -28) a α = 104.14, β = 84.23, δ = 45.29 b α = 104.14, β = 62.75, δ = 148.74 c α = 134.71, β = 84.23, δ = 148.74 d α = 134.71, β = 62.75, δ = 45.29 27 Calcula los ángulos directores del vector V = (-6, 16, 13) a α = 11.46, β = 41.82, δ = 88.13 b α = 106.23, β = 78.7, δ = 88.13 c α = 106.23, β = 41.82, δ = 52.74 d α = 11.46, β = 78.7, δ = 52.74 28 Calcula los ángulos directores del vector V = (5, 7, -17) a α = 76.18, β = 46.63, δ = 153.16 b α = 76.18, β = 68.44, δ = 46.63 c α = 74.79, β = 46.63, δ = 46.63 d α = 74.79, β = 68.44, δ = 153.16 29 Calcula los ángulos directores del vector V = (-1, -34, 10) a α = 91.62, β = 163.53, δ = 73.62 b α = 161.11, β = 163.53, δ = 94.17 c α = 91.62, β = 108.38, δ = 94.17 d α = 161.11, β = 108.38, δ = 73.62 30 Calcula los ángulos directores del vector V = (5, -8, 17) a α = 115.5, β = 27.38, δ = 29.03 b α = 75.1, β = 114.3, δ = 29.03 c α = 115.5, β = 114.3, δ = 80.71 d α = 75.1, β = 27.38, δ = 80.71 31 Calcula los ángulos directores del vector V = (-14, 13, 0) a α = 137.12, β = 142.75, δ = 84.29 b α = 126.66, β = 142.75, δ = 90 c α = 137.12, β = 47.12, δ = 90 d α = 126.66, β = 47.12, δ = 84.29 32 Calcula los ángulos directores del vector V = (18, -7, -12) a α = 65.98, β = 107.93, δ = 103.74 b α = 37.66, β = 28.12, δ = 103.74 c α = 65.98, β = 28.12, δ = 121.85 d α = 37.66, β = 107.93, δ = 121.85 33 Calcula los ángulos directores del vector V = (14, -4, 9) a α = 35.13, β = 103.51, δ = 58.28 b α = 151.59, β = 105.3, δ = 58.28 c α = 35.13, β = 105.3, δ = 66.68 d α = 151.59, β = 103.51, δ = 66.68 34 Calcula los ángulos directores del vector V = (-3, 5, -17) a α = 44.61, β = 51.09, δ = 161.07 b α = 99.61, β = 73.85, δ = 161.07 c α = 44.61, β = 73.85, δ = 108.3 d α = 99.61, β = 51.09, δ = 108.3 35 Calcula los ángulos directores del vector V = (-14, 15, 12) a α = 126.08, β = 34.99, δ = 90 b α = 124.99, β = 50.87, δ = 90 c α = 126.08, β = 50.87, δ = 59.68 d α = 124.99, β = 34.99, δ = 59.68 36 Calcula los ángulos directores del vector V = (-1, -2, -9) a α = 129.3, β = 61.64, δ = 166.05 b α = 96.19, β = 61.64, δ = 52.35 c α = 129.3, β = 102.45, δ = 52.35 d α = 96.19, β = 102.45, δ = 166.05 37 Calcula los ángulos directores del vector V = (-23, 5, -14) a α = 147.12, β = 79.48, δ = 120.74 b α = 52.8, β = 79.48, δ = 63.04 c α = 52.8, β = 130.91, δ = 120.74 d α = 147.12, β = 130.91, δ = 63.04 38 Calcula los ángulos directores del vector V = (-31, 33, 8) a α = 132.39, β = 141.24, δ = 51.4 b α = 132.39, β = 44.13, δ = 79.98 c α = 92.98, β = 44.13, δ = 51.4 d α = 92.98, β = 141.24, δ = 79.98 39 Calcula los ángulos directores del vector V = (4, 9, 13) a α = 81.73, β = 48.89, δ = 37.15 b α = 75.8, β = 48.89, δ = 137.7 c α = 75.8, β = 56.51, δ = 37.15 d α = 81.73, β = 56.51, δ = 137.7 40 Calcula los ángulos directores del vector V = (25, 26, -4) a α = 157.5, β = 44.24, δ = 81.83 b α = 157.5, β = 110.81, δ = 96.33 c α = 46.46, β = 110.81, δ = 81.83 d α = 46.46, β = 44.24, δ = 96.33 41 Calcula los ángulos directores del vector V = (-1, 11, -23) a α = 92.25, β = 64.46, δ = 154.35 b α = 92.25, β = 24.09, δ = 111.42 c α = 100.52, β = 64.46, δ = 111.42 d α = 100.52, β = 24.09, δ = 154.35 42 Calcula los ángulos directores del vector V = (29, 15, -2) a α = 119.5, β = 82.93, δ = 93.51 b α = 27.56, β = 62.71, δ = 93.51 c α = 27.56, β = 82.93, δ = 149.5 d α = 119.5, β = 62.71, δ = 149.5 43 Calcula los ángulos directores del vector V = (-18, -34, 33) a α = 107.5, β = 132.13, δ = 82.6 b α = 107.5, β = 160.91, δ = 49.38 c α = 110.8, β = 132.13, δ = 49.38 d α = 110.8, β = 160.91, δ = 82.6 44 Calcula los ángulos directores del vector V = (-9, -19, -13) a α = 111.35, β = 46.89, δ = 52.59 b α = 113.89, β = 140.23, δ = 52.59 c α = 113.89, β = 46.89, δ = 121.73 d α = 111.35, β = 140.23, δ = 121.73 45 Calcula los ángulos directores del vector V = (9, -37, 12) a α = 76.97, β = 157.93, δ = 72.51 b α = 57.33, β = 93.44, δ = 72.51 c α = 57.33, β = 157.93, δ = 32.9 d α = 76.97, β = 93.44, δ = 32.9 46 Calcula los ángulos directores del vector V = (-23, 2, 3) a α = 171.09, β = 24.9, δ = 113.14 b α = 171.09, β = 85.07, δ = 82.6 c α = 98.69, β = 24.9, δ = 82.6 d α = 98.69, β = 85.07, δ = 113.14 47 Calcula los ángulos directores del vector V = (-4, 6, 14) a α = 91.7, β = 67.6, δ = 78.03 b α = 104.71, β = 12.09, δ = 78.03 c α = 104.71, β = 67.6, δ = 27.25 d α = 91.7, β = 12.09, δ = 27.25 48 Calcula los ángulos directores del vector V = (-15, 16, 9) a α = 82.7, β = 50.58, δ = 67.69 b α = 82.7, β = 47.55, δ = 40.36 c α = 129.25, β = 50.58, δ = 40.36 d α = 129.25, β = 47.55, δ = 67.69 49 Calcula los ángulos directores del vector V = (-25, -30, -15) a α = 126.7, β = 135.82, δ = 111.01 b α = 30.03, β = 135.82, δ = 61.47 c α = 126.7, β = 98.58, δ = 61.47 d α = 30.03, β = 98.58, δ = 111.01 50 Calcula los ángulos directores del vector V = (1, -32, 2) a α = 148.34, β = 58.66, δ = 86.43 b α = 88.21, β = 176, δ = 86.43 c α = 148.34, β = 176, δ = 85.93 d α = 88.21, β = 58.66, δ = 85.93 51 Calcula los ángulos directores del vector V = (-25, 20, 11) a α = 137.6, β = 108.31, δ = 24.85 b α = 73.79, β = 108.31, δ = 71.04 c α = 137.6, β = 53.79, δ = 71.04 d α = 73.79, β = 53.79, δ = 24.85 52 Calcula los ángulos directores del vector V = (-8, 7, 27) a α = 78.69, β = 76.04, δ = 11.31 b α = 106, β = 90, δ = 11.31 c α = 78.69, β = 90, δ = 21.49 d α = 106, β = 76.04, δ = 21.49 53 Calcula los ángulos directores del vector V = (9, 22, -13) a α = 70.6, β = 35.7, δ = 118.67 b α = 135.78, β = 48.58, δ = 118.67 c α = 70.6, β = 48.58, δ = 77.26 d α = 135.78, β = 35.7, δ = 77.26 54 Calcula los ángulos directores del vector V = (31, 9, 18) a α = 134.03, β = 130.66, δ = 60.86 b α = 32.99, β = 75.91, δ = 60.86 c α = 134.03, β = 75.91, δ = 107.7 d α = 32.99, β = 130.66, δ = 107.7 55 Calcula los ángulos directores del vector V = (-22, -15, 14) a α = 137, β = 61.24, δ = 109.32 b α = 144.28, β = 61.24, δ = 62.27 c α = 137, β = 119.91, δ = 62.27 d α = 144.28, β = 119.91, δ = 109.32 56 Calcula los ángulos directores del vector V = (13, 7, -7) a α = 115.91, β = 64.63, δ = 109.13 b α = 37.29, β = 33.11, δ = 109.13 c α = 115.91, β = 33.11, δ = 115.37 d α = 37.29, β = 64.63, δ = 115.37 57 Calcula los ángulos directores del vector V = (-2, 20, -3) a α = 95.65, β = 10.22, δ = 98.49 b α = 14.09, β = 10.22, δ = 103.54 c α = 14.09, β = 86.16, δ = 98.49 d α = 95.65, β = 86.16, δ = 103.54 58 Calcula los ángulos directores del vector V = (19, -14, -16) a α = 48.21, β = 117.9, δ = 114.58 b α = 48.21, β = 119.41, δ = 124.13 c α = 141.24, β = 119.41, δ = 114.58 d α = 141.24, β = 117.9, δ = 124.13 59 Calcula los ángulos directores del vector V = (16, -15, 2) a α = 21.09, β = 104.74, δ = 84.79 b α = 43.4, β = 104.74, δ = 104.74 c α = 43.4, β = 132.93, δ = 84.79 d α = 21.09, β = 132.93, δ = 104.74 60 Calcula los ángulos directores del vector V = (-6, -34, -2) a α = 90, β = 169.46, δ = 66.37 b α = 90, β = 23.63, δ = 93.32 c α = 99.99, β = 23.63, δ = 66.37 d α = 99.99, β = 169.46, δ = 93.32 61 Calcula los ángulos directores del vector V = (87, 9, -91) a α = 46.43, β = 85.91, δ = 136.13 b α = 46.43, β = 85.91, δ = 128.53 c α = 46.43, β = 93.01, δ = 136.13 d α = 46.43, β = 93.01, δ = 128.53 62 Calcula los ángulos directores del vector V = (-17, 12, -84) a α = 101.33, β = 89.29, δ = 172.84 b α = 101.33, β = 82.03, δ = 166.09 c α = 101.33, β = 82.03, δ = 172.84 d α = 101.33, β = 89.29, δ = 166.09 63 Calcula los ángulos directores del vector V = (94, -87, 27) a α = 44.1, β = 130.21, δ = 78.1 b α = 44.1, β = 130.21, δ = 74.36 c α = 44.1, β = 131.66, δ = 78.1 d α = 44.1, β = 131.66, δ = 74.36 64 Calcula los ángulos directores del vector V = (80, -28, -27) a α = 25.93, β = 108.35, δ = 110.1 b α = 25.93, β = 99.55, δ = 107.67 c α = 25.93, β = 99.55, δ = 110.1 d α = 25.93, β = 108.35, δ = 107.67 65 Calcula los ángulos directores del vector V = (13, -72, -44) a α = 81.24, β = 147.49, δ = 121.02 b α = 87.79, β = 147.49, δ = 121.02 c α = 81.24, β = 147.49, δ = 114.24 d α = 87.79, β = 147.49, δ = 114.24 66 Calcula los ángulos directores del vector V = (-7, -16, 46) a α = 78.9, β = 108.98, δ = 15.79 b α = 98.18, β = 108.98, δ = 20.79 c α = 78.9, β = 108.98, δ = 20.79 d α = 98.18, β = 108.98, δ = 15.79 67 Calcula los ángulos directores del vector V = (47, 83, -67) a α = 66.22, β = 44.6, δ = 118.04 b α = 59.59, β = 44.6, δ = 118.04 c α = 66.22, β = 44.6, δ = 125.09 d α = 59.59, β = 44.6, δ = 125.09 68 Calcula los ángulos directores del vector V = (58, 56, 79) a α = 53.94, β = 60.26, δ = 45.58 b α = 59.08, β = 60.26, δ = 50.1 c α = 53.94, β = 60.26, δ = 50.1 d α = 59.08, β = 60.26, δ = 45.58 69 Calcula los ángulos directores del vector V = (-72, 17, -98) a α = 125.9, β = 82.04, δ = 142.95 b α = 128.91, β = 82.04, δ = 142.95 c α = 125.9, β = 84.12, δ = 142.95 d α = 128.91, β = 84.12, δ = 142.95 70 Calcula los ángulos directores del vector V = (-22, 64, -60) a α = 108.78, β = 37.41, δ = 131.56 b α = 104.08, β = 44.96, δ = 131.56 c α = 108.78, β = 44.96, δ = 131.56 d α = 104.08, β = 37.41, δ = 131.56 71 Calcula los ángulos directores del vector V = (42, -42, 95) a α = 67.98, β = 112.89, δ = 32.01 b α = 73.66, β = 112.89, δ = 32.01 c α = 67.98, β = 112.02, δ = 32.01 d α = 73.66, β = 112.02, δ = 32.01 72 Calcula los ángulos directores del vector V = (6, -25, 96) a α = 98.38, β = 104.57, δ = 14.99 b α = 86.54, β = 102.95, δ = 14.99 c α = 98.38, β = 102.95, δ = 14.99 d α = 86.54, β = 104.57, δ = 14.99 73 Calcula los ángulos directores del vector V = (-7, -69, 99) a α = 93.32, β = 124.81, δ = 35.01 b α = 93.32, β = 124.81, δ = 31.78 c α = 93.32, β = 119.53, δ = 31.78 d α = 93.32, β = 119.53, δ = 35.01 74 Calcula los ángulos directores del vector V = (61, 7, -25) a α = 23.05, β = 94.75, δ = 112.15 b α = 23.05, β = 83.94, δ = 112.15 c α = 23.05, β = 83.94, δ = 94.75 d α = 23.05, β = 94.75, δ = 94.75 75 Calcula los ángulos directores del vector V = (-34, -79, 0) a α = 113.29, β = 162.25, δ = 79.02 b α = 113.29, β = 162.25, δ = 90 c α = 113.29, β = 156.71, δ = 90 d α = 113.29, β = 156.71, δ = 79.02 76 Calcula los ángulos directores del vector V = (64, 71, -77) a α = 58.57, β = 54.66, δ = 125.4 b α = 58.57, β = 57.38, δ = 125.4 c α = 58.57, β = 57.38, δ = 128.85 d α = 58.57, β = 54.66, δ = 128.85 77 Calcula los ángulos directores del vector V = (99, 66, -48) a α = 39.5, β = 59.04, δ = 111.97 b α = 45.37, β = 59.04, δ = 111.97 c α = 45.37, β = 59.04, δ = 115.51 d α = 39.5, β = 59.04, δ = 115.51 78 Calcula los ángulos directores del vector V = (69, 89, -73) a α = 59.06, β = 48.46, δ = 117.93 b α = 59.06, β = 48.46, δ = 122.95 c α = 54.42, β = 48.46, δ = 122.95 d α = 54.42, β = 48.46, δ = 117.93 79 Calcula los ángulos directores del vector V = (24, 87, 71) a α = 74.15, β = 40.74, δ = 43.7 b α = 77.94, β = 40.74, δ = 43.7 c α = 77.94, β = 40.74, δ = 51.81 d α = 74.15, β = 40.74, δ = 51.81 80 Calcula los ángulos directores del vector V = (-48, -81, -1) a α = 124, β = 149.34, δ = 90.61 b α = 124, β = 149.34, δ = 83.04 c α = 120.65, β = 149.34, δ = 83.04 d α = 120.65, β = 149.34, δ = 90.61 81 Calcula los ángulos directores del vector V = (-43, -92, 85) a α = 108.95, β = 134, δ = 50.07 b α = 106.17, β = 134, δ = 50.07 c α = 106.17, β = 135.22, δ = 50.07 d α = 108.95, β = 135.22, δ = 50.07 82 Calcula los ángulos directores del vector V = (-92, 84, 99) a α = 125.32, β = 64.8, δ = 51.53 b α = 125.32, β = 58.14, δ = 51.53 c α = 120.73, β = 58.14, δ = 51.53 d α = 120.73, β = 64.8, δ = 51.53 83 Calcula los ángulos directores del vector V = (-88, 1, 18) a α = 159.26, β = 96.24, δ = 78.44 b α = 168.42, β = 96.24, δ = 78.44 c α = 168.42, β = 89.36, δ = 78.44 d α = 159.26, β = 89.36, δ = 78.44 84 Calcula los ángulos directores del vector V = (-6, 32, -88) a α = 85.29, β = 70.06, δ = 159.7 b α = 85.29, β = 53.27, δ = 159.7 c α = 93.67, β = 53.27, δ = 159.7 d α = 93.67, β = 70.06, δ = 159.7 85 Calcula los ángulos directores del vector V = (-22, -56, 86) a α = 102.1, β = 122.25, δ = 34.98 b α = 102.1, β = 121.5, δ = 34.98 c α = 102.1, β = 122.25, δ = 32.05 d α = 102.1, β = 121.5, δ = 32.05 86 Calcula los ángulos directores del vector V = (39, 6, 9) a α = 15.5, β = 111.53, δ = 47.71 b α = 15.5, β = 81.47, δ = 77.15 c α = 15.5, β = 111.53, δ = 77.15 d α = 15.5, β = 81.47, δ = 47.71 87 Calcula los ángulos directores del vector V = (-32, -82, 33) a α = 109.9, β = 150.73, δ = 82.47 b α = 109.9, β = 168, δ = 82.47 c α = 109.9, β = 150.73, δ = 69.45 d α = 109.9, β = 168, δ = 69.45 88 Calcula los ángulos directores del vector V = (24, -100, 100) a α = 80.37, β = 137.07, δ = 45.8 b α = 80.37, β = 134.2, δ = 49.69 c α = 80.37, β = 137.07, δ = 49.69 d α = 80.37, β = 134.2, δ = 45.8 89 Calcula los ángulos directores del vector V = (-16, -98, 35) a α = 98.74, β = 158.56, δ = 70.58 b α = 98.74, β = 158.56, δ = 74.34 c α = 106.95, β = 158.56, δ = 70.58 d α = 106.95, β = 158.56, δ = 74.34 90 Calcula los ángulos directores del vector V = (49, -69, 51) a α = 58.99, β = 134.29, δ = 58.47 b α = 60.27, β = 134.29, δ = 58.93 c α = 60.27, β = 134.29, δ = 58.47 d α = 58.99, β = 134.29, δ = 58.93 91 Calcula los ángulos directores del vector V = (24, 31, 87) a α = 65.28, β = 71.04, δ = 24.26 b α = 65.28, β = 71.04, δ = 40.09 c α = 75.43, β = 71.04, δ = 24.26 d α = 75.43, β = 71.04, δ = 40.09 92 Calcula los ángulos directores del vector V = (-41, -77, -82) a α = 110.03, β = 130.03, δ = 124.7 b α = 113.83, β = 130.03, δ = 133.23 c α = 113.83, β = 130.03, δ = 124.7 d α = 110.03, β = 130.03, δ = 133.23 93 Calcula los ángulos directores del vector V = (-95, -89, 24) a α = 135.86, β = 132.25, δ = 79.55 b α = 139.67, β = 126.53, δ = 79.55 c α = 139.67, β = 132.25, δ = 79.55 d α = 135.86, β = 126.53, δ = 79.55 94 Calcula los ángulos directores del vector V = (20, 1, 64) a α = 72.65, β = 100.97, δ = 17.37 b α = 72.65, β = 89.15, δ = 17.37 c α = 73.42, β = 100.97, δ = 17.37 d α = 73.42, β = 89.15, δ = 17.37 95 Calcula los ángulos directores del vector V = (17, -95, 88) a α = 72.71, β = 136.67, δ = 47.64 b α = 72.71, β = 128.27, δ = 47.64 c α = 82.52, β = 136.67, δ = 47.64 d α = 82.52, β = 128.27, δ = 47.64 96 Calcula los ángulos directores del vector V = (-70, -7, -94) a α = 126.6, β = 98.33, δ = 143.19 b α = 126.89, β = 93.42, δ = 143.19 c α = 126.89, β = 98.33, δ = 143.19 d α = 126.6, β = 93.42, δ = 143.19 97 Calcula los ángulos directores del vector V = (-80, -20, -85) a α = 132.49, β = 99.72, δ = 135.87 b α = 132.49, β = 95.51, δ = 131.56 c α = 132.49, β = 95.51, δ = 135.87 d α = 132.49, β = 99.72, δ = 131.56 98 Calcula los ángulos directores del vector V = (-34, 56, 0) a α = 121.26, β = 31.26, δ = 87.9 b α = 121.26, β = 31.26, δ = 90 c α = 121.26, β = 26.95, δ = 87.9 d α = 121.26, β = 26.95, δ = 90 99 Calcula los ángulos directores del vector V = (-55, -100, 1) a α = 118.81, β = 146.78, δ = 89.5 b α = 118.81, β = 151.19, δ = 81.05 c α = 118.81, β = 151.19, δ = 89.5 d α = 118.81, β = 146.78, δ = 81.05 100 Calcula los ángulos directores del vector V = (86, -93, 6) a α = 47.3, β = 137.17, δ = 93.15 b α = 47.3, β = 133.64, δ = 87.29 c α = 47.3, β = 133.64, δ = 93.15 d α = 47.3, β = 137.17, δ = 87.29

1

Calcula los ángulos directores del vector V = (-31, -5, 20)

a

α = 146.38, β = 97.72, δ = 57.51

b

α = 130.94, β = 103.45, δ = 44.05

c

α = 48.27, β = 93.37, δ = 138.07

d

α = 84.51, β = 144.41, δ = 54.97

2

Calcula los ángulos directores del vector V = (21, 12, -24)

a

α = 59.34, β = 110.67, δ = 38.33

b

α = 51.95, β = 69.38, δ = 134.78

c

α = 79.46, β = 167.3, δ = 83

d

α = 85.75, β = 42.16, δ = 48.15

3

Calcula los ángulos directores del vector V = (-6, 19, -4)

a

α = 122.11, β = 139.83, δ = 111.44

b

α = 64.79, β = 72.28, δ = 148.43

c

α = 107.17, β = 20.78, δ = 101.35

d

α = 104.52, β = 92.05, δ = 165.32

4

Calcula los ángulos directores del vector V = (-8, -3, 10)

a

α = 75.05, β = 110.12, δ = 154.54

b

α = 14.43, β = 77.41, δ = 96.95

c

α = 100.97, β = 137.2, δ = 49.29

d

α = 127.46, β = 103.18, δ = 40.51

5

Calcula los ángulos directores del vector V = (2, 8, 23)

a

α = 85.3, β = 70.89, δ = 19.72

b

α = 37.43, β = 88.66, δ = 52.61

c

α = 155.7, β = 65.7, δ = 90

d

α = 159.16, β = 75.43, δ = 104.57

6

Calcula los ángulos directores del vector V = (-29, 2, 11)

a

α = 121.53, β = 148.19, δ = 93.75

b

α = 158.92, β = 86.31, δ = 69.27

c

α = 83.89, β = 173.56, δ = 92.03

d

α = 137.28, β = 93.37, δ = 47.48

7

Calcula los ángulos directores del vector V = (-33, 16, 18)

a

α = 25.46, β = 90, δ = 64.54

b

α = 42.03, β = 56.15, δ = 111.8

c

α = 143.88, β = 66.94, δ = 63.86

d

α = 92.31, β = 46.68, δ = 136.59

8

Calcula los ángulos directores del vector V = (33, 7, 19)

a

α = 75.29, β = 27.25, δ = 67.6

b

α = 101.33, β = 162.64, δ = 77.02

c

α = 148.22, β = 109.21, δ = 114.29

d

α = 31.53, β = 79.58, δ = 60.61

9

Calcula los ángulos directores del vector V = (-18, 6, -4)

a

α = 158.17, β = 71.98, δ = 101.9

b

α = 131.87, β = 61.53, δ = 124.9

c

α = 33.12, β = 94.65, δ = 122.71

d

α = 54.53, β = 144.33, δ = 93.33

10

Calcula los ángulos directores del vector V = (-18, 7, -14)

a

α = 115.5, β = 113.81, δ = 143.83

b

α = 138.99, β = 72.94, δ = 125.94

c

α = 120.65, β = 149.35, δ = 90

d

α = 67.72, β = 150.05, δ = 71.04

11

Calcula los ángulos directores del vector V = (29, -22, 5)

a

α = 146.02, β = 56.44, δ = 85.24

b

α = 98.91, β = 41.56, δ = 49.83

c

α = 37.88, β = 126.78, δ = 82.18

d

α = 137.23, β = 47.71, δ = 95.26

12

Calcula los ángulos directores del vector V = (-15, -39, 5)

a

α = 76.58, β = 150.46, δ = 115.79

b

α = 74.3, β = 53.03, δ = 41.26

c

α = 144.42, β = 77.83, δ = 122.84

d

α = 110.88, β = 157.93, δ = 83.18

13

Calcula los ángulos directores del vector V = (-33, 21, 17)

a

α = 140.69, β = 60.5, δ = 66.51

b

α = 90, β = 10.62, δ = 100.62

c

α = 53.4, β = 72.65, δ = 138.19

d

α = 102.5, β = 85.86, δ = 166.82

14

Calcula los ángulos directores del vector V = (15, 2, -3)

a

α = 60.74, β = 136.27, δ = 119.26

b

α = 13.52, β = 82.55, δ = 101.21

c

α = 56.35, β = 73.92, δ = 38.28

d

α = 43.88, β = 96.21, δ = 133.21

15

Calcula los ángulos directores del vector V = (14, 23, -32)

a

α = 86.63, β = 61.98, δ = 151.74

b

α = 100.88, β = 36.65, δ = 55.51

c

α = 70.44, β = 56.64, δ = 139.92

d

α = 61.7, β = 144.36, δ = 109.79

16

Calcula los ángulos directores del vector V = (-17, -31, 19)

a

α = 25.39, β = 97.08, δ = 114.25

b

α = 148.44, β = 98.65, δ = 120.08

c

α = 50.72, β = 39.76, δ = 84.81

d

α = 115.06, β = 140.57, δ = 61.75

17

Calcula los ángulos directores del vector V = (13, -6, -11)

a

α = 43.95, β = 109.41, δ = 127.53

b

α = 52.15, β = 46.35, δ = 67.45

c

α = 64.93, β = 27.15, δ = 99.76

d

α = 42.67, β = 98.46, δ = 48.57

18

Calcula los ángulos directores del vector V = (-33, -10, -4)

a

α = 13.26, β = 76.87, δ = 91.86

b

α = 161.92, β = 106.74, δ = 96.62

c

α = 120.51, β = 61.45, δ = 44.21

d

α = 8.97, β = 81.03, δ = 90

19

Calcula los ángulos directores del vector V = (-5, -7, 1)

a

α = 72.84, β = 50.79, δ = 135.76

b

α = 59.77, β = 65.19, δ = 40.95

c

α = 125.26, β = 143.93, δ = 83.37

d

α = 102.9, β = 77.1, δ = 161.59

20

Calcula los ángulos directores del vector V = (-36, 8, -1)

a

α = 16.41, β = 86.07, δ = 74.09

b

α = 132.77, β = 43.31, δ = 84.43

c

α = 35.34, β = 97.21, δ = 124.38

d

α = 167.38, β = 77.48, δ = 91.55

21

Calcula los ángulos directores del vector V = (-19, 9, -17)

a

α = 134.65, β = 70.56, δ = 128.96

b

α = 134.65, β = 76.68, δ = 91.47

c

α = 166.6, β = 70.56, δ = 91.47

d

α = 166.6, β = 76.68, δ = 128.96

22

Calcula los ángulos directores del vector V = (24, -2, 22)

a

α = 16.41, β = 86.07, δ = 47.59

b

α = 42.63, β = 93.52, δ = 47.59

c

α = 42.63, β = 86.07, δ = 105.91

d

α = 16.41, β = 93.52, δ = 105.91

23

Calcula los ángulos directores del vector V = (-17, -8, 12)

a

α = 115.88, β = 111.03, δ = 29.21

b

α = 115.88, β = 102.6, δ = 57.43

c

α = 139.69, β = 111.03, δ = 57.43

d

α = 139.69, β = 102.6, δ = 29.21

24

Calcula los ángulos directores del vector V = (17, 8, -15)

a

α = 45, β = 67.08, δ = 23.02

b

α = 92.03, β = 70.56, δ = 23.02

c

α = 92.03, β = 67.08, δ = 128.6

d

α = 45, β = 70.56, δ = 128.6

25

Calcula los ángulos directores del vector V = (-27, 36, -14)

a

α = 124.95, β = 40.19, δ = 107.28

b

α = 106.08, β = 123.65, δ = 107.28

c

α = 106.08, β = 40.19, δ = 141.72

d

α = 124.95, β = 123.65, δ = 141.72

26

Calcula los ángulos directores del vector V = (-8, 15, -28)

a

α = 104.14, β = 84.23, δ = 45.29

b

α = 104.14, β = 62.75, δ = 148.74

c

α = 134.71, β = 84.23, δ = 148.74

d

α = 134.71, β = 62.75, δ = 45.29

27

Calcula los ángulos directores del vector V = (-6, 16, 13)

a

α = 11.46, β = 41.82, δ = 88.13

b

α = 106.23, β = 78.7, δ = 88.13

c

α = 106.23, β = 41.82, δ = 52.74

d

α = 11.46, β = 78.7, δ = 52.74

28

Calcula los ángulos directores del vector V = (5, 7, -17)

a

α = 76.18, β = 46.63, δ = 153.16

b

α = 76.18, β = 68.44, δ = 46.63

c

α = 74.79, β = 46.63, δ = 46.63

d

α = 74.79, β = 68.44, δ = 153.16

29

Calcula los ángulos directores del vector V = (-1, -34, 10)

a

α = 91.62, β = 163.53, δ = 73.62

b

α = 161.11, β = 163.53, δ = 94.17

c

α = 91.62, β = 108.38, δ = 94.17

d

α = 161.11, β = 108.38, δ = 73.62

30

Calcula los ángulos directores del vector V = (5, -8, 17)

a

α = 115.5, β = 27.38, δ = 29.03

b

α = 75.1, β = 114.3, δ = 29.03

c

α = 115.5, β = 114.3, δ = 80.71

d

α = 75.1, β = 27.38, δ = 80.71

31

Calcula los ángulos directores del vector V = (-14, 13, 0)

a

α = 137.12, β = 142.75, δ = 84.29

b

α = 126.66, β = 142.75, δ = 90

c

α = 137.12, β = 47.12, δ = 90

d

α = 126.66, β = 47.12, δ = 84.29

32

Calcula los ángulos directores del vector V = (18, -7, -12)

a

α = 65.98, β = 107.93, δ = 103.74

b

α = 37.66, β = 28.12, δ = 103.74

c

α = 65.98, β = 28.12, δ = 121.85

d

α = 37.66, β = 107.93, δ = 121.85

33

Calcula los ángulos directores del vector V = (14, -4, 9)

a

α = 35.13, β = 103.51, δ = 58.28

b

α = 151.59, β = 105.3, δ = 58.28

c

α = 35.13, β = 105.3, δ = 66.68

d

α = 151.59, β = 103.51, δ = 66.68

34

Calcula los ángulos directores del vector V = (-3, 5, -17)

a

α = 44.61, β = 51.09, δ = 161.07

b

α = 99.61, β = 73.85, δ = 161.07

c

α = 44.61, β = 73.85, δ = 108.3

d

α = 99.61, β = 51.09, δ = 108.3

35

Calcula los ángulos directores del vector V = (-14, 15, 12)

a

α = 126.08, β = 34.99, δ = 90

b

α = 124.99, β = 50.87, δ = 90

c

α = 126.08, β = 50.87, δ = 59.68

d

α = 124.99, β = 34.99, δ = 59.68

36

Calcula los ángulos directores del vector V = (-1, -2, -9)

a

α = 129.3, β = 61.64, δ = 166.05

b

α = 96.19, β = 61.64, δ = 52.35

c

α = 129.3, β = 102.45, δ = 52.35

d

α = 96.19, β = 102.45, δ = 166.05

37

Calcula los ángulos directores del vector V = (-23, 5, -14)

a

α = 147.12, β = 79.48, δ = 120.74

b

α = 52.8, β = 79.48, δ = 63.04

c

α = 52.8, β = 130.91, δ = 120.74

d

α = 147.12, β = 130.91, δ = 63.04

38

Calcula los ángulos directores del vector V = (-31, 33, 8)

a

α = 132.39, β = 141.24, δ = 51.4

b

α = 132.39, β = 44.13, δ = 79.98

c

α = 92.98, β = 44.13, δ = 51.4

d

α = 92.98, β = 141.24, δ = 79.98

39

Calcula los ángulos directores del vector V = (4, 9, 13)

a

α = 81.73, β = 48.89, δ = 37.15

b

α = 75.8, β = 48.89, δ = 137.7

c

α = 75.8, β = 56.51, δ = 37.15

d

α = 81.73, β = 56.51, δ = 137.7

40

Calcula los ángulos directores del vector V = (25, 26, -4)

a

α = 157.5, β = 44.24, δ = 81.83

b

α = 157.5, β = 110.81, δ = 96.33

c

α = 46.46, β = 110.81, δ = 81.83

d

α = 46.46, β = 44.24, δ = 96.33

41

Calcula los ángulos directores del vector V = (-1, 11, -23)

a

α = 92.25, β = 64.46, δ = 154.35

b

α = 92.25, β = 24.09, δ = 111.42

c

α = 100.52, β = 64.46, δ = 111.42

d

α = 100.52, β = 24.09, δ = 154.35

42

Calcula los ángulos directores del vector V = (29, 15, -2)

a

α = 119.5, β = 82.93, δ = 93.51

b

α = 27.56, β = 62.71, δ = 93.51

c

α = 27.56, β = 82.93, δ = 149.5

d

α = 119.5, β = 62.71, δ = 149.5

43

Calcula los ángulos directores del vector V = (-18, -34, 33)

a

α = 107.5, β = 132.13, δ = 82.6

b

α = 107.5, β = 160.91, δ = 49.38

c

α = 110.8, β = 132.13, δ = 49.38

d

α = 110.8, β = 160.91, δ = 82.6

44

Calcula los ángulos directores del vector V = (-9, -19, -13)

a

α = 111.35, β = 46.89, δ = 52.59

b

α = 113.89, β = 140.23, δ = 52.59

c

α = 113.89, β = 46.89, δ = 121.73

d

α = 111.35, β = 140.23, δ = 121.73

45

Calcula los ángulos directores del vector V = (9, -37, 12)

a

α = 76.97, β = 157.93, δ = 72.51

b

α = 57.33, β = 93.44, δ = 72.51

c

α = 57.33, β = 157.93, δ = 32.9

d

α = 76.97, β = 93.44, δ = 32.9

46

Calcula los ángulos directores del vector V = (-23, 2, 3)

a

α = 171.09, β = 24.9, δ = 113.14

b

α = 171.09, β = 85.07, δ = 82.6

c

α = 98.69, β = 24.9, δ = 82.6

d

α = 98.69, β = 85.07, δ = 113.14

47

Calcula los ángulos directores del vector V = (-4, 6, 14)

a

α = 91.7, β = 67.6, δ = 78.03

b

α = 104.71, β = 12.09, δ = 78.03

c

α = 104.71, β = 67.6, δ = 27.25

d

α = 91.7, β = 12.09, δ = 27.25

48

Calcula los ángulos directores del vector V = (-15, 16, 9)

a

α = 82.7, β = 50.58, δ = 67.69

b

α = 82.7, β = 47.55, δ = 40.36

c

α = 129.25, β = 50.58, δ = 40.36

d

α = 129.25, β = 47.55, δ = 67.69

49

Calcula los ángulos directores del vector V = (-25, -30, -15)

a

α = 126.7, β = 135.82, δ = 111.01

b

α = 30.03, β = 135.82, δ = 61.47

c

α = 126.7, β = 98.58, δ = 61.47

d

α = 30.03, β = 98.58, δ = 111.01

50

Calcula los ángulos directores del vector V = (1, -32, 2)

a

α = 148.34, β = 58.66, δ = 86.43

b

α = 88.21, β = 176, δ = 86.43

c

α = 148.34, β = 176, δ = 85.93

d

α = 88.21, β = 58.66, δ = 85.93

51

Calcula los ángulos directores del vector V = (-25, 20, 11)

a

α = 137.6, β = 108.31, δ = 24.85

b

α = 73.79, β = 108.31, δ = 71.04

c

α = 137.6, β = 53.79, δ = 71.04

d

α = 73.79, β = 53.79, δ = 24.85

52

Calcula los ángulos directores del vector V = (-8, 7, 27)

a

α = 78.69, β = 76.04, δ = 11.31

b

α = 106, β = 90, δ = 11.31

c

α = 78.69, β = 90, δ = 21.49

d

α = 106, β = 76.04, δ = 21.49

53

Calcula los ángulos directores del vector V = (9, 22, -13)

a

α = 70.6, β = 35.7, δ = 118.67

b

α = 135.78, β = 48.58, δ = 118.67

c

α = 70.6, β = 48.58, δ = 77.26

d

α = 135.78, β = 35.7, δ = 77.26

54

Calcula los ángulos directores del vector V = (31, 9, 18)

a

α = 134.03, β = 130.66, δ = 60.86

b

α = 32.99, β = 75.91, δ = 60.86

c

α = 134.03, β = 75.91, δ = 107.7

d

α = 32.99, β = 130.66, δ = 107.7

55

Calcula los ángulos directores del vector V = (-22, -15, 14)

a

α = 137, β = 61.24, δ = 109.32

b

α = 144.28, β = 61.24, δ = 62.27

c

α = 137, β = 119.91, δ = 62.27

d

α = 144.28, β = 119.91, δ = 109.32

56

Calcula los ángulos directores del vector V = (13, 7, -7)

a

α = 115.91, β = 64.63, δ = 109.13

b

α = 37.29, β = 33.11, δ = 109.13

c

α = 115.91, β = 33.11, δ = 115.37

d

α = 37.29, β = 64.63, δ = 115.37

57

Calcula los ángulos directores del vector V = (-2, 20, -3)

a

α = 95.65, β = 10.22, δ = 98.49

b

α = 14.09, β = 10.22, δ = 103.54

c

α = 14.09, β = 86.16, δ = 98.49

d

α = 95.65, β = 86.16, δ = 103.54

58

Calcula los ángulos directores del vector V = (19, -14, -16)

a

α = 48.21, β = 117.9, δ = 114.58

b

α = 48.21, β = 119.41, δ = 124.13

c

α = 141.24, β = 119.41, δ = 114.58

d

α = 141.24, β = 117.9, δ = 124.13

59

Calcula los ángulos directores del vector V = (16, -15, 2)

a

α = 21.09, β = 104.74, δ = 84.79

b

α = 43.4, β = 104.74, δ = 104.74

c

α = 43.4, β = 132.93, δ = 84.79

d

α = 21.09, β = 132.93, δ = 104.74

60

Calcula los ángulos directores del vector V = (-6, -34, -2)

a

α = 90, β = 169.46, δ = 66.37

b

α = 90, β = 23.63, δ = 93.32

c

α = 99.99, β = 23.63, δ = 66.37

d

α = 99.99, β = 169.46, δ = 93.32

61

Calcula los ángulos directores del vector V = (87, 9, -91)

a

α = 46.43, β = 85.91, δ = 136.13

b

α = 46.43, β = 85.91, δ = 128.53

c

α = 46.43, β = 93.01, δ = 136.13

d

α = 46.43, β = 93.01, δ = 128.53

62

Calcula los ángulos directores del vector V = (-17, 12, -84)

a

α = 101.33, β = 89.29, δ = 172.84

b

α = 101.33, β = 82.03, δ = 166.09

c

α = 101.33, β = 82.03, δ = 172.84

d

α = 101.33, β = 89.29, δ = 166.09

63

Calcula los ángulos directores del vector V = (94, -87, 27)

a

α = 44.1, β = 130.21, δ = 78.1

b

α = 44.1, β = 130.21, δ = 74.36

c

α = 44.1, β = 131.66, δ = 78.1

d

α = 44.1, β = 131.66, δ = 74.36

64

Calcula los ángulos directores del vector V = (80, -28, -27)

a

α = 25.93, β = 108.35, δ = 110.1

b

α = 25.93, β = 99.55, δ = 107.67

c

α = 25.93, β = 99.55, δ = 110.1

d

α = 25.93, β = 108.35, δ = 107.67

65

Calcula los ángulos directores del vector V = (13, -72, -44)

a

α = 81.24, β = 147.49, δ = 121.02

b

α = 87.79, β = 147.49, δ = 121.02

c

α = 81.24, β = 147.49, δ = 114.24

d

α = 87.79, β = 147.49, δ = 114.24

66

Calcula los ángulos directores del vector V = (-7, -16, 46)

a

α = 78.9, β = 108.98, δ = 15.79

b

α = 98.18, β = 108.98, δ = 20.79

c

α = 78.9, β = 108.98, δ = 20.79

d

α = 98.18, β = 108.98, δ = 15.79

67

Calcula los ángulos directores del vector V = (47, 83, -67)

a

α = 66.22, β = 44.6, δ = 118.04

b

α = 59.59, β = 44.6, δ = 118.04

c

α = 66.22, β = 44.6, δ = 125.09

d

α = 59.59, β = 44.6, δ = 125.09

68

Calcula los ángulos directores del vector V = (58, 56, 79)

a

α = 53.94, β = 60.26, δ = 45.58

b

α = 59.08, β = 60.26, δ = 50.1

c

α = 53.94, β = 60.26, δ = 50.1

d

α = 59.08, β = 60.26, δ = 45.58

69

Calcula los ángulos directores del vector V = (-72, 17, -98)

a

α = 125.9, β = 82.04, δ = 142.95

b

α = 128.91, β = 82.04, δ = 142.95

c

α = 125.9, β = 84.12, δ = 142.95

d

α = 128.91, β = 84.12, δ = 142.95

70

Calcula los ángulos directores del vector V = (-22, 64, -60)

a

α = 108.78, β = 37.41, δ = 131.56

b

α = 104.08, β = 44.96, δ = 131.56

c

α = 108.78, β = 44.96, δ = 131.56

d

α = 104.08, β = 37.41, δ = 131.56

71

Calcula los ángulos directores del vector V = (42, -42, 95)

a

α = 67.98, β = 112.89, δ = 32.01

b

α = 73.66, β = 112.89, δ = 32.01

c

α = 67.98, β = 112.02, δ = 32.01

d

α = 73.66, β = 112.02, δ = 32.01

72

Calcula los ángulos directores del vector V = (6, -25, 96)

a

α = 98.38, β = 104.57, δ = 14.99

b

α = 86.54, β = 102.95, δ = 14.99

c

α = 98.38, β = 102.95, δ = 14.99

d

α = 86.54, β = 104.57, δ = 14.99

73

Calcula los ángulos directores del vector V = (-7, -69, 99)

a

α = 93.32, β = 124.81, δ = 35.01

b

α = 93.32, β = 124.81, δ = 31.78

c

α = 93.32, β = 119.53, δ = 31.78

d

α = 93.32, β = 119.53, δ = 35.01

74

Calcula los ángulos directores del vector V = (61, 7, -25)

a

α = 23.05, β = 94.75, δ = 112.15

b

α = 23.05, β = 83.94, δ = 112.15

c

α = 23.05, β = 83.94, δ = 94.75

d

α = 23.05, β = 94.75, δ = 94.75

75

Calcula los ángulos directores del vector V = (-34, -79, 0)

a

α = 113.29, β = 162.25, δ = 79.02

b

α = 113.29, β = 162.25, δ = 90

c

α = 113.29, β = 156.71, δ = 90

d

α = 113.29, β = 156.71, δ = 79.02

76

Calcula los ángulos directores del vector V = (64, 71, -77)

a

α = 58.57, β = 54.66, δ = 125.4

b

α = 58.57, β = 57.38, δ = 125.4

c

α = 58.57, β = 57.38, δ = 128.85

d

α = 58.57, β = 54.66, δ = 128.85

77

Calcula los ángulos directores del vector V = (99, 66, -48)

a

α = 39.5, β = 59.04, δ = 111.97

b

α = 45.37, β = 59.04, δ = 111.97

c

α = 45.37, β = 59.04, δ = 115.51

d

α = 39.5, β = 59.04, δ = 115.51

78

Calcula los ángulos directores del vector V = (69, 89, -73)

a

α = 59.06, β = 48.46, δ = 117.93

b

α = 59.06, β = 48.46, δ = 122.95

c

α = 54.42, β = 48.46, δ = 122.95

d

α = 54.42, β = 48.46, δ = 117.93

79

Calcula los ángulos directores del vector V = (24, 87, 71)

a

α = 74.15, β = 40.74, δ = 43.7

b

α = 77.94, β = 40.74, δ = 43.7

c

α = 77.94, β = 40.74, δ = 51.81

d

α = 74.15, β = 40.74, δ = 51.81

80

Calcula los ángulos directores del vector V = (-48, -81, -1)

a

α = 124, β = 149.34, δ = 90.61

b

α = 124, β = 149.34, δ = 83.04

c

α = 120.65, β = 149.34, δ = 83.04

d

α = 120.65, β = 149.34, δ = 90.61

81

Calcula los ángulos directores del vector V = (-43, -92, 85)

a

α = 108.95, β = 134, δ = 50.07

b

α = 106.17, β = 134, δ = 50.07

c

α = 106.17, β = 135.22, δ = 50.07

d

α = 108.95, β = 135.22, δ = 50.07

82

Calcula los ángulos directores del vector V = (-92, 84, 99)

a

α = 125.32, β = 64.8, δ = 51.53

b

α = 125.32, β = 58.14, δ = 51.53

c

α = 120.73, β = 58.14, δ = 51.53

d

α = 120.73, β = 64.8, δ = 51.53

83

Calcula los ángulos directores del vector V = (-88, 1, 18)

a

α = 159.26, β = 96.24, δ = 78.44

b

α = 168.42, β = 96.24, δ = 78.44

c

α = 168.42, β = 89.36, δ = 78.44

d

α = 159.26, β = 89.36, δ = 78.44

84

Calcula los ángulos directores del vector V = (-6, 32, -88)

a

α = 85.29, β = 70.06, δ = 159.7

b

α = 85.29, β = 53.27, δ = 159.7

c

α = 93.67, β = 53.27, δ = 159.7

d

α = 93.67, β = 70.06, δ = 159.7

85

Calcula los ángulos directores del vector V = (-22, -56, 86)

a

α = 102.1, β = 122.25, δ = 34.98

b

α = 102.1, β = 121.5, δ = 34.98

c

α = 102.1, β = 122.25, δ = 32.05

d

α = 102.1, β = 121.5, δ = 32.05

86

Calcula los ángulos directores del vector V = (39, 6, 9)

a

α = 15.5, β = 111.53, δ = 47.71

b

α = 15.5, β = 81.47, δ = 77.15

c

α = 15.5, β = 111.53, δ = 77.15

d

α = 15.5, β = 81.47, δ = 47.71

87

Calcula los ángulos directores del vector V = (-32, -82, 33)

a

α = 109.9, β = 150.73, δ = 82.47

b

α = 109.9, β = 168, δ = 82.47

c

α = 109.9, β = 150.73, δ = 69.45

d

α = 109.9, β = 168, δ = 69.45

88

Calcula los ángulos directores del vector V = (24, -100, 100)

a

α = 80.37, β = 137.07, δ = 45.8

b

α = 80.37, β = 134.2, δ = 49.69

c

α = 80.37, β = 137.07, δ = 49.69

d

α = 80.37, β = 134.2, δ = 45.8

89

Calcula los ángulos directores del vector V = (-16, -98, 35)

a

α = 98.74, β = 158.56, δ = 70.58

b

α = 98.74, β = 158.56, δ = 74.34

c

α = 106.95, β = 158.56, δ = 70.58

d

α = 106.95, β = 158.56, δ = 74.34

90

Calcula los ángulos directores del vector V = (49, -69, 51)

a

α = 58.99, β = 134.29, δ = 58.47

b

α = 60.27, β = 134.29, δ = 58.93

c

α = 60.27, β = 134.29, δ = 58.47

d

α = 58.99, β = 134.29, δ = 58.93

91

Calcula los ángulos directores del vector V = (24, 31, 87)

a

α = 65.28, β = 71.04, δ = 24.26

b

α = 65.28, β = 71.04, δ = 40.09

c

α = 75.43, β = 71.04, δ = 24.26

d

α = 75.43, β = 71.04, δ = 40.09

92

Calcula los ángulos directores del vector V = (-41, -77, -82)

a

α = 110.03, β = 130.03, δ = 124.7

b

α = 113.83, β = 130.03, δ = 133.23

c

α = 113.83, β = 130.03, δ = 124.7

d

α = 110.03, β = 130.03, δ = 133.23

93

Calcula los ángulos directores del vector V = (-95, -89, 24)

a

α = 135.86, β = 132.25, δ = 79.55

b

α = 139.67, β = 126.53, δ = 79.55

c

α = 139.67, β = 132.25, δ = 79.55

d

α = 135.86, β = 126.53, δ = 79.55

94

Calcula los ángulos directores del vector V = (20, 1, 64)

a

α = 72.65, β = 100.97, δ = 17.37

b

α = 72.65, β = 89.15, δ = 17.37

c

α = 73.42, β = 100.97, δ = 17.37

d

α = 73.42, β = 89.15, δ = 17.37

95

Calcula los ángulos directores del vector V = (17, -95, 88)

a

α = 72.71, β = 136.67, δ = 47.64

b

α = 72.71, β = 128.27, δ = 47.64

c

α = 82.52, β = 136.67, δ = 47.64

d

α = 82.52, β = 128.27, δ = 47.64

96

Calcula los ángulos directores del vector V = (-70, -7, -94)

a

α = 126.6, β = 98.33, δ = 143.19

b

α = 126.89, β = 93.42, δ = 143.19

c

α = 126.89, β = 98.33, δ = 143.19

d

α = 126.6, β = 93.42, δ = 143.19

97

Calcula los ángulos directores del vector V = (-80, -20, -85)

a

α = 132.49, β = 99.72, δ = 135.87

b

α = 132.49, β = 95.51, δ = 131.56

c

α = 132.49, β = 95.51, δ = 135.87

d

α = 132.49, β = 99.72, δ = 131.56

98

Calcula los ángulos directores del vector V = (-34, 56, 0)

a

α = 121.26, β = 31.26, δ = 87.9

b

α = 121.26, β = 31.26, δ = 90

c

α = 121.26, β = 26.95, δ = 87.9

d

α = 121.26, β = 26.95, δ = 90

99

Calcula los ángulos directores del vector V = (-55, -100, 1)

a

α = 118.81, β = 146.78, δ = 89.5

b

α = 118.81, β = 151.19, δ = 81.05

c

α = 118.81, β = 151.19, δ = 89.5

d

α = 118.81, β = 146.78, δ = 81.05

100

Calcula los ángulos directores del vector V = (86, -93, 6)

a

α = 47.3, β = 137.17, δ = 93.15

b

α = 47.3, β = 133.64, δ = 87.29

c

α = 47.3, β = 133.64, δ = 93.15

d

α = 47.3, β = 137.17, δ = 87.29

Angulos directores en R3

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