Free Printable Activity on Vector Algebra

Worksheets

Activity on Vector Algebra

Total questions: 15

Worksheet time: 8mins

Name

Class

Date

The dot product $\left(1,\ -2,\ 2\right)\cdot\left(-1,\ 1,\ 3\right)$ is equal to

None of the above

A $\cdot$ B = 0 means that

A and B are colinear

A and B are parallel

A and B are perpendicular

None of the above

The cross product of two vectors A and B is another vector

True

False

Select all that apply for the cross product:

It is commutative, i.e.,

A $\times$ B = B $\times$ A

The distributive law is valid, i.e.,
A $\times$ (B + C) = A $\times$ B + A $\times$ C

C = A $\times$ B is perpendicular to both A and B

It may be multiplied by a scalar $m$ without changing its direction

Which symbol is used to show vector quantities?

Triangle

Line

Arrow

What is magnitude?

The direction that describes a quantity.

A numerical value

A unit of force

Which of the following is an example of scalar magnitude?

velocity

mass

acceleration

force

The _______ of two or more vectors is the sum of the vectors.

components

scalar

resultant

magnitude

Vector a = 2i + 3j - 5k. What is the value of 3a?

3i + 3j - 3k

5i + 6j - 8k

6i + 9j -15k

6i + 6j - 15k

10.

Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is

i + 3j -5k

-i -3j +3k

i -j -5k

-i -j +3k

11.

Find the angle between vectors <1,3> and <2,-5>.

40.24°

49.76°

139.76°

92.57°

12.

Find the dot product of <1, -2> and <3, 2>.

<3, -4>

<4, 0>

-1

13.

What is the angle between two orthogonal vectors?

180 degree

90 degree

60 degree

45 degree

14.

If ||v||= 8, ||w||=6 and the angle between them is θ = 240˚ $Find\ \overrightarrow{\ \ v}.\overrightarrow{\ \ w}$

-24

-48

15.

What vector gives the sum of these two vectors?

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Activity on Vector Algebra

Total questions: 15

Worksheet time: 8mins

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