# Lesson Worksheet: Vector Operations in 3D Mathematics

In this worksheet, we will practice doing operations on vectors in 3D, such as addition, subtraction, and scalar multiplication.

**Q4: **

If and , find .

- A
- B
- C
- D

**Q9: **

Suppose a unit vector is such that . Determine the possible values of .

- A
- B
- C
- D

**Q10: **

Given and , determine the unit vector in the direction –.

- A
- B
- C
- D

**Q11: **

Find the unit vector in the direction of , where and .

- A
- B
- C
- D

**Q13: **

and are two vectors, where and . Comparing and , which quantity is larger?

- AThey are both the same.
- B
- C

**Q14: **

Given the two vectors and , find .

- A
- B
- C
- D
- E

**Q15: **

If and , find .

- A
- B
- C
- D
- E

**Q16: **

Given that and , find .

- A
- B3
- C
- D9
- E

**Q21: **

A force of newtons is being applied to an object. What other force should be applied to achieve a total force of newtons?

- A newtons
- B newtons
- C newtons
- D newtons
- E newtons

**Q23: **

Given that and , find the following.

- A
- B
- C
- D
- E

, where is a constant

- A
- B
- C
- D
- E

- A
- B
- C
- D
- E

**Q25: **

True or False: If is any vector in 3D and is the zero vector, then, for any vector , equals .

- ATrue
- BFalse