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1. |
The magnitude of the zero vector is _____. |
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A. |
any negative number |
B. |
1 |
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C. |
0 |
D. |
any positive number except 1 |
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Hint |
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2. |
The sum of two or more vectors is called _____. |
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A. |
the magnitude |
B. |
the resultant |
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C. |
the zero vector |
D. |
a scalar |
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Hint |
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3. |
Write the ordered pair that represents the vector from X(-4, 7) to Y(3, -4). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Write  as the sum of unit vectors for A(4, 8, -6) and B(-2, 5, 0). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Find the inner product of  and  if  and  . |
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A. |
20 |
B. |
-12 |
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C. |
-20 |
D. |
12 |
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Hint |
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6. |
What is the magnitude of the resultant of a 100-newton force along the x-axis and a 150-newton force at an angle of 40° to each other? |
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A. |
180.28 N |
B. |
162.99 N |
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C. |
235.54 N |
D. |
125 N |
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Hint |
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7. |
Write parametric equations of -2x + 5y = 9. |
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A. |
x = t and y = -2t + 5 |
B. |
x = -t and  |
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C. |
x = t and |
D. |
x = t and y = 9 - 5t |
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Hint |
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8. |
Find the initial horizontal velocity and vertical velocity of a stone kicked with an initial velocity of 15 feet per second at an angle of 42° with the ground. |
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A. |
about 11 ft/s, about 10 ft/s |
B. |
about 10 ft/s, about 22 ft/s |
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C. |
about 14 ft/s, about 12 ft/s |
D. |
about 11 ft/s, about 13 ft/s |
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Hint |
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9. |
Find the initial horizontal velocity of a javelin thrown at 70 feet per second at an angle of 55° with the horizontal. |
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A. |
about 40 ft/s |
B. |
about 30 ft/s |
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C. |
about 20 ft/s |
D. |
about 50 ft/s |
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Hint |
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10. |
Which of the following is a dilation matrix? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
If  , then  = _______. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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12. |
Write  as the sum of unit vectors for U(4, 3, -8) and V(-5, -4, -2). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
Which pair of vectors is perpendicular? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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14. |
In physics, you can determine how much force with which an object is sliding down a frictionless incline by adding the gravitational force vector and the ''normal force'' vector. The normal force vector is always directed up out of the incline perpendicular to it (90° more than the measure of the incline). The magnitude m of the normal force can be calculated by m = f cos  , where f is the gravitational force and is the angle measure of the incline. If a gravitational force (always straight down) of 50 N is being exerted on an object on a 25° incline, what is the magnitude of the force with which it is sliding down the incline? |
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A. |
93.1 N |
B. |
45.3 N |
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C. |
21.1 N |
D. |
50 N |
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Hint |
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15. |
Write parametric equations for 2x + 4y = 11. |
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A. |
x = t and y =  |
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B. |
x = 2t - 11 and y = 4t - 11 |
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C. |
x = and y =  |
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D. |
x = t and y = |
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Hint |
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16. |
Which of the following matrices represents a dilation by a scale factor of 2? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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