Vector Valued Functions

A variable that gives direction information included in its value

• origin

• speed

• velocity

• vector

Tags

NGSS.HS-PS3-5

A quantity that needs both magnitude and direction to be fully described.

• Vector

• Scalar

Weight is a

• Vector

• Scalar

Velocity is

• Vector

• Scalar

Acceleration is

• Vector

• Scalar

Tags

NGSS.HS-PS2-1

A function that assigns a vector to each point in its domain is called a

• Scalar Function

• Vector Valued Function

• Matrix Function

• Tensor Function

Which of the following is an example of a vector valued function?

• f(x) = x^2

• f(x) = (x, y, z)

• f(x) = x + y

• f(x) = x/y

In the context of vector valued functions, the derivative represents

• The rate of change of magnitude

• The rate of change of direction

• The rate of change of both magnitude and direction

• The rate of change of scalar value

A vector valued function is often used to describe the motion of an object in

• One-dimensional space

• Two-dimensional space

• Three-dimensional space

• Four-dimensional space

Tags

NGSS.HS-ESS1-4

NGSS.HS-PS2-4

The integral of a vector valued function over an interval gives

• A scalar value

• A vector value

• A matrix value

• A tensor value