Parallel and Perpendicular Vectors in Two Dimensions

Practice Questions

Pre-Calculus › Parallel and Perpendicular Vectors in Two Dimensions

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1

Find the dot product of the two vectors

and

.

2

Find the dot product of the two vectors

and

.

3

Which of the following pairs of vectors are parallel?

4

Which of the following pairs of vectors are parallel?

5

Find the dot product of the two vectors

and

.

6

Find the dot product of the two vectors

and

.

7

$\vec{v}=-4i+5j$

$\vec{w}=5i+4j$

Which of the following best explains whether the two vectors above are perpendicular or parallel?

8

$\vec{v}=-4i+5j$

$\vec{w}=5i+4j$

Which of the following best explains whether the two vectors above are perpendicular or parallel?

9

Find the angle between the following two vectors in 3D space.

10

The dot product may be used to determine the angle between two vectors.

Use the dot product to determine if the angle between the two vectors.

,

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