Practice Questions
Practice Questions
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 2AB?
(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 AB 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 90º
(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) 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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