Froggy Jumps
Vector II Lowersixth Science MathematicsVersion en ligne
Challenging 50-vector problems for 17-year-olds.
1
What is the distance between P(1,2) and Q(4,6)?
2
Distance between (0,0) and (3,4) equals?
3
Distance between (−1,−2) and (2,1) is?
4
Distance formula uses which operation?
5
Angle between vectors a and b is defined by?
6
If a = (1,0) and b = (0,1), angle between them is?
7
Angle between parallel vectors is?
8
Dot product of orthogonal vectors is?
9
Unit vector of v = (3,4) is?
10
Unit vector in direction of (−2,0,2) is?
11
A unit vector has length?
12
Find the unit vector in direction of (6,8):
13
Perpendicular vectors satisfy?
14
If a ⟂ b, then angle is?
15
Find a vector perpendicular to (1,2) in 2D.
16
Which operation shows perpendicularity in vectors?
17
Two vectors are parallel if a = λb with?
18
Direction cosines relate to a vector's?
19
If v is parallel to w, angle between them is?
20
Direction cosines are the cosines of angles with?
21
Unit vector along (−3, 4, 0) is?
22
The magnitude of a vector v is?
23
Distance between (1,2,3) and (4,6,3) is?
24
Which vectors form a 3D right angle if dot product is 0?
25
If a and b are parallel, a·b equals?
26
If a = (2,0,0) and b = (0,3,0), angle is?
27
Distance formula in 3D uses?
28
Unit vector is of length?
29
Direction cosines are cosines of angles with?
30
A perpendicular to (1,2,2) could be?
31
Angle between (1,1,0) and (1,0,1) is?
32
The dot product of unit vectors equals?
33
If a and b are not zero and parallel, a·b equals?
34
Unit vector in direction of (0,0,5) is?
35
Cosine of angle between a and b is given by?
36
If v = (a,b,0) and w = (0,a,b), angle is?
37
Find direction cosines for vector (x,y,z).
38
Distance formula generalizes to?
39
Perpendicular and parallel vectors relationship?
40
Given a and b, to check parallel, compare ratio of components.
41
Angle between opposite vectors is?
42
Normalizing a vector yields a?
43
What is the unit vector of (−6,8,0)?
44
Distance between (0,0) and (−3,−4) is?
45
Angle between a and itself is?
46
A unit vector must have length?
47
Two vectors are parallel when their cross product is?
48
Direction cosines are related to?
49
What is the distance in 2D for (2,3) to (5,7)?
50
If v = (1,2,3) and w = (4,5,6), angle cos =
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