# Lesson Worksheet: Adding and Subtracting Vectors in 2D Mathematics

In this worksheet, we will practice adding and subtracting vectors in 2D.

**Q5: **

If and , what is the smallest that could be?

**Q6: **

Are there any vector and for which ?

- ANo
- BYes

**Q8: **

Consider the vectors and .

What is the magnitude of ? Give your answer correct to two decimal places if needed.

What is the magnitude of ? Give your answer correct to two decimal places if needed.

What is the magnitude of ? Give your answer correct to two decimal if needed.

**Q9: **

Consider the vectors and .

What is the magnitude of ? Give your answer correct to two decimal places if needed.

What is the magnitude of ? Give your answer correct to two decimal places if needed.

What is the magnitude of ? Give your answer correct to two decimal places if needed.

**Q10: **

Given that and , where and are two perpendicular unit vectors, find .

- A
- B
- C
- D
- E

**Q12: **

If , and , determine .

- A
- B
- C
- D

**Q14: **

Is it always true that ?

- AYes
- BNo

**Q15: **

Is it always true that ?

- ANo
- BYes

**Q16: **

Let be the zero vector. What is equal to for any vector ?

- A
- B

**Q17: **

Shown on the grid of unit squares are the vectors and .

What are the components of ?

- A
- B
- C
- D
- E

What are the components of ?

- A
- B
- C
- D
- E

What are the components of ?

- A
- B
- C
- D
- E

**Q22: **

Does the vector sum have a solution?

- ANo
- BYes

**Q23: **

Shown on the grid of unit squares are the vectors and .

What are the components of ?

- A
- B
- C
- D
- E

What are the components of ?

- A
- B
- C
- D
- E

What are the components of ?

- A
- B
- C
- D
- E

**Q24: **

Shown on the grid of unit squares are the vectors , , and .

What are the components of ?

- A
- B
- C
- D
- E

What are the components of ?

- A
- B
- C
- D
- E

What are the components of ?

- A
- B
- C
- D
- E

**Q25: **

Shown on the grid of unit squares are the vectors , , and .

What are the components of ?

- A
- B
- C
- D
- E

What are the components of ?

- A
- B
- C
- D
- E

What are the components of ?

- A
- B
- C
- D
- E