Practice Questions
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| 1. |
Which of the following vectors
best represents the vector A + B? |
| (A) |
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| (B) |
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| (C) |
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| (D) |
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| (E) |
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| 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 |
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| 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) |
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| 4. |
A and B are
vectors, and  is the angle between
them. What can you do to maximize A · B? |
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I. Maximize the magnitude of A
II. Maximize the magnitude of B
III. Set  to 90º
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| (A) |
None of the above |
| (B) |
I only |
| (C) |
III only |
| (D) |
I and II only |
| (E) |
I, II, and III |
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| 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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