Vector Calculus Quiz

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Basics of vector calculus

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Yaj Kotak

United States

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Froggy Jumps Vector Calculus QuizVersion en ligne Basics of vector calculus par Yaj Kotak 1 Which coordinate system is most appropriate for describing a point using (r, theta, z)? a Cylindrical coordinates b Rectangular coordinates c Polar coordinates 2 The dot product of two vectors is zero when the vectors are: a Orthogonal b Parallel c Scalar multiples 3 The cross product of two vectors in R3 produces: a A vector in the same direction b A vector perpendicular to both c A scalar 4 A vector-valued function r(t) is best interpreted as: a A plane b A surface in space c A curve traced out in space 5 Arc length of a space curve is computed using: a The dot product of vectors b The magnitude of the position vector c The integral of the speed 6 A function of several variables, such as f(x, y), assigns: a A single real number to each ordered pair b A plane to each input c A vector to each input 7 A partial derivative of f(x, y) with respect to x measures: a The total change in f b The slope holding y constant c The slope holding x constant 8 The gradient vector of a function f(x, y) points in the direction of: a Zero change b Maximum decrease c Maximum increase 9 A double integral over a region represents: a The area of a curve b The slope of a surface c The volume under a surface 10 Green’s Theorem relates: a Surface integrals and triple integrals b Line integrals and double integrals c Triple integrals and flux

Froggy Jumps

Vector Calculus QuizVersion en ligne

Basics of vector calculus

par Yaj Kotak

Which coordinate system is most appropriate for describing a point using (r, theta, z)?

Cylindrical coordinates

Rectangular coordinates

Polar coordinates

The dot product of two vectors is zero when the vectors are:

Orthogonal

Parallel

Scalar multiples

The cross product of two vectors in R3 produces:

A vector in the same direction

A vector perpendicular to both

A scalar

A vector-valued function r(t) is best interpreted as:

A plane

A surface in space

A curve traced out in space

Arc length of a space curve is computed using:

The dot product of vectors

The magnitude of the position vector

The integral of the speed

A function of several variables, such as f(x, y), assigns:

A single real number to each ordered pair

A plane to each input

A vector to each input

A partial derivative of f(x, y) with respect to x measures:

The total change in f

The slope holding y constant

The slope holding x constant

The gradient vector of a function f(x, y) points in the direction of:

Zero change

Maximum decrease

Maximum increase

A double integral over a region represents:

The area of a curve

The slope of a surface

The volume under a surface

Green’s Theorem relates:

Surface integrals and triple integrals

Line integrals and double integrals

Triple integrals and flux

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Vector Calculus Quiz

Froggy Jumps

À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

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Vector Calculus QuizVersion en ligne

par Yaj Kotak

Which coordinate system is most appropriate for describing a point using (r, theta, z)?

The dot product of two vectors is zero when the vectors are:

The cross product of two vectors in R3 produces:

A vector-valued function r(t) is best interpreted as:

Arc length of a space curve is computed using:

A function of several variables, such as f(x, y), assigns:

A partial derivative of f(x, y) with respect to x measures:

The gradient vector of a function f(x, y) points in the direction of:

A double integral over a region represents:

Green’s Theorem relates:

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