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1. |
Write the ordered pair that represents the vector from X(-4, 7) to Y(3, -4). |
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A. |
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B. |
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C. |
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D. |
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Hint |
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2. |
Find an ordered triple that represents  if  and  . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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3. |
Find the magnitude of  for T(4, 0, -6) and M(5, -1, 0). |
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A. |
6 |
B. |
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C. |
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D. |
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Hint |
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4. |
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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5. |
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 10 ft/s, about 22 ft/s |
B. |
about 11 ft/s, about 13 ft/s |
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C. |
about 14 ft/s, about 12 ft/s |
D. |
about 11 ft/s, about 10 ft/s |
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Hint |
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6. |
If a vector has its initial point at the origin, it ________. |
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A. |
is in standard position |
B. |
has a magnitude of zero |
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C. |
has no direction |
D. |
is a scalar |
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Hint |
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7. |
| | = 14, | | = 9, and  . Find | |. |
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A. |
23 |
B. |
5 |
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C. |
17 |
D. |
126 |
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Hint |
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8. |
If  , then  = _______. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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9. |
Two vectors  and  are perpendicular if ________. |
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A. |
their inner product is v1w1 +v2w2 |
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B. |
their dot product is equal to their cross product |
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C. |
their inner product equals zero |
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D. |
their cross product equals zero |
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Hint |
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10. |
Find the magnitude of the resultant vector that is the sum of the two vectors shown. |
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A. |
80.1 |
B. |
124 |
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C. |
59 |
D. |
165.2 |
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Hint |
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11. |
Find the direction of the resultant of a 7-newton force at an angle of 35° above the x-axis and a 12-newton force at an angle of 35° below the x-axis. |
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A. |
10.4° |
B. |
-10.4° |
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C. |
0° |
D. |
-2.9° |
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Hint |
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12. |
Write parametric equations for 2x + 4y = 11. |
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A. |
x = t and y =  |
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B. |
x = t and y =  |
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C. |
x = and y = |
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D. |
x = 2t - 11 and y = 4t - 11 |
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Hint |
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13. |
Write an equation in slope-intercept form of the line whose parametric equations are x = 3t - 4 and y = -t + 8. |
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A. |
y = -3t + 12 |
B. |
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C. |
y = 3x - 4 |
D. |
y = 8 - x |
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Hint |
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14. |
If a quarterback throws a 30-yard pass to his receiver with an initial velocity of 21 yards per second at an angle of 15 with the horizontal, how long is the ball in the air? |
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A. |
1.48 s |
B. |
1.43 s |
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C. |
5.52 s |
D. |
0.68 s |
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Hint |
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15. |
Given the coordinates of a rectangular prism, represent them as a vertex matrix: A(1, 5, 3), B (1, 5, -1), C (1, -3, -1), D (1, -3, 3), E (-4, 5, 3), F (-4, 5, -1), G (-4, -3, -1), H (-4, -3, 3) |
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A. |
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B. |
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C. |
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D. |
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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. |
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B. |
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C. |
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D. |
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Hint |
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