In this worksheet, we will practice expressing a vector in component form given its initial and terminal points.

**Q2: **

Find the coordinates of the terminal point of the vector in the given diagram.

- A
- B
- C
- D
- E

**Q3: **

Find the coordinates of the initial point of the vector in the given diagram.

- A
- B
- C
- D
- E

**Q4: **

Find the components of the vector , where and .

- A
- B
- C
- D
- E

**Q5: **

A vector has components and a terminal point . What is its initial point?

- A
- B
- C
- D
- E

**Q7: **

The initial point of the vector shown in the diagram is the origin, .

What are the coordinates of its terminal point?

- A
- B
- C
- D
- E

What are the components of the vector?

- A
- B
- C
- D
- E

**Q8: **

The initial point of the vector shown in the diagram is the origin, .

What are the coordinates of its terminal point?

- A
- B
- C
- D
- E

What are the components of the vector?

- A
- B
- C
- D
- E

**Q9: **

The initial point of the vector shown in the diagram is the origin, .

What are the coordinates of its terminal point?

- A
- B
- C
- D
- E

What are the components of the vector?

- A
- B
- C
- D
- E

**Q10: **

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

**Q11: **

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

**Q12: **

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

**Q13: **

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

**Q14: **

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

**Q15: **

Suppose the coordinates of points and are and respectively. Find the components of the vector in terms of , , , and .

- A
- B
- C
- D
- E

**Q16: **

A vector has components and an initial point . What is its terminal point?

- A
- B
- C
- D
- E

**Q17: **

Find the components of the vector , where and .

- A
- B
- C
- D
- E

**Q18: **

Find the components of the vector .

- A
- B
- C
- D
- E

**Q19: **

Given that the coordinates of and are and respectively, find .

**Q20: **

Find the components of the vector , where and .

- A
- B
- C
- D
- E

**Q21: **

What is the magnitude of the vector , where and ?

**Q22: **

Using the shown graph, determine the position vector of point relative to the origin point , denoted by , and find its norm, denoted by .

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

**Q23: **

What is the initial point of the vector in the given diagram?

- A
- B

**Q24: **

What is the terminal point of the vector in the given diagram?

- A
- B

**Q25: **

The points , , and have coordinates , , and respectively. Given that and are equivalent vectors, find the coordinates of .

- A
- B
- C
- D
- E