# Worksheet: Vectors in Terms of Fundamental Unit Vectors

In this worksheet, we will practice expressing vectors in terms of fundamental unit vectors instead of component form and adding and subtracting vectors in that form.

**Q1: **

Find the unit vector in the direction of the -axis.

- A
- B
- C
- D
- E

**Q2: **

Find the unit vector in the direction of the -axis.

- A
- B
- C
- D
- E

**Q3: **

If and , determine .

- A
- B3
- C

**Q4: **

If and , determine and .

- A ,
- B ,
- C ,

**Q5: **

Suppose that , , and . What is ?

- A
- B
- C
- D

**Q6: **

Given that and that is a unit vector equal to , determine the possible values of .

- A
- B
- C
- D

**Q7: **

Given that and are two unit vectors, and , evaluate .

**Q8: **

If and are unit vectors and the measure of the angle between them, find .

- A
- B
- C
- D
- E

**Q9: **

Find the unit vector in the direction of the -axis.

- A
- B
- C
- D
- E

**Q10: **

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

- A
- B
- C
- D

**Q11: **

Is a unit vector?

- ANo
- BYes

**Q12: **

Suppose that , , and . What is ?

- A
- B
- C
- D

**Q13: **

If and , determine .

- A
- B
- C

**Q14: **

If and , determine and .

- A ,
- B ,
- C ,