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Lesson: Chapter - 4

Practice Questions

A limited number of practice questions, of vectors, with explanation help you refresh the chapter.

1. Which of the following vectors best represents the vector A + B?

(A).

(B).

(C).

(D).

(E)

2. Vector A has a magnitude of 5 in the leftward direction and B has a magnitude of 2 in the rightward direction. What is the value of 2A – B?

(A) 12 in the leftward direction

(B) 10 in the leftward direction

(C) 8 in the leftward direction

(D) 8 in the rightward direction

(E) 12 in the rightward direction

3. When the tail of vector A is set at the origin of the xy-axis, the tip of A reaches (3,6). When the tail of vector B is set at the origin of the xy-axis, the tip of B reaches (–1,5). If the tail of vector A – B were set at the origin of the xy-axis, what point would its tip touch?

(A) (2,11)

(B) (2,1)

(C) (–2,7)

(D) (4,1)

(E) (4,11)

4. A and B are vectors, and ? is the angle between them. What can you do to maximize A· B?
I. Maximize the magnitude of A
II. Maximize the magnitude of B
III. Set ? to 90°

(A) None of the above

(B) I only

(C) III only

(D) I and II only

(E) I, II, and III

5. Which of the following statements is NOT true about A × B ?

(A) It is a vector that points into the page

(B) It has a magnitude that is less than or equal to 12

(C) It has no component in the plane of the page

(D) The angle it makes with B is less than the angle it makes with A

(E) It is the same as –B × A

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Practice Questions

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