# Worksheet: Graphical Operations on Vectors

In this worksheet, we will practice doing operations on vectors graphically such as addition, subtraction and scalar multiplication using triangle and parallelogram rules.

**Q2: **

Consider the vector in the given diagram.

What are the coordinates of its terminal point?

- A
- B
- C
- D
- E

What are the coordinates of its initial point?

- A
- B
- C
- D
- E

What are the components of the vector?

- A
- B
- C
- D
- E

**Q3: **

In the given figure, , , and . Complete the following: is equivalent to .

- A
- B
- C
- D

**Q4: **

In the given figure, is a regular hexagon with center . Complete the following: is equivalent to .

- A
- B
- C
- D
- E

**Q5: **

Using the given figure, complete the following: and .

- A,
- B,
- C,
- D,

**Q6: **

The blue vector represents the complex number . The green vector represents the vector . What does the red vector represent?

- A
- B
- C
- D
- E

**Q7: **

Given the information in the diagram below, if , find .

- A
- B
- C
- D

**Q8: **

Given the information in the diagram below, if , find .

- A
- B
- C
- D

**Q9: **

The figure shows a regular hexagon divided into 6 equilateral triangles. Which of the following is equal to ?

- A
- B
- C
- D
- E

**Q10: **

Which vector is equivalent to ?

- A
- B
- C
- D
- E

**Q11: **

Which of the following diagrams is correct?

- A
- B
- C
- D
- E

**Q12: **

The figure shows two vectors, and , where and . Use the parallelogram method to find the magnitude of the resultant of these two vectors. Give your answer to two decimal places.

**Q14: **

Given that , , and , determine , rounded to two decimal places.