# Lesson Worksheet: Properties of Operations on Vectors Mathematics

In this worksheet, we will practice using the properties of addition and multiplication on vectors.

**Q1: **

What is the addition property that shows that ?

- ACommutative property
- BAssociative property
- CAddition identity property
- DDistributive property
- EAdditive inverse property

**Q2: **

Which of the following properties of vector operations is incorrect?

- A
- B
- C
- D
- E

**Q3: **

Let and .

What are the components of ?

- A
- B
- C
- D
- E

What are the components of ?

- A
- B
- C
- D
- E

**Q4: **

Does the vector sum have a solution?

- ANo
- BYes

**Q5: **

Complete the following: .

- A
- B
- C
- D
- E

**Q6: **

Given that and , find .

- A
- B
- C
- D
- E

**Q7: **

Complete the following: .

- A
- B
- C
- D
- E

**Q8: **

Given that , find .

- A
- B
- C
- D
- E

**Q9: **

What is the property that shows that ?

- ADistributive property
- BCommutative property
- CAdditive inverse property
- DAddition identity property
- EAssociative property

**Q10: **

Consider that , , and .

Find .

- A
- B
- C
- D
- E

Find .

- A
- B
- C
- D
- E

Does equal ?

- AYes
- BNo