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