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1. |
The sum of two or more vectors is called _____. |
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A. |
the magnitude |
B. |
a scalar |
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C. |
the resultant |
D. |
the zero vector |
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Hint |
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2. |
Write  as the sum of unit vectors for A(4, 8, -6) and B(-2, 5, 0). |
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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 inner product of  and  if  and  . |
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A. |
-12 |
B. |
-8 |
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C. |
-14 |
D. |
14 |
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Hint |
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4. |
Write parametric equations of -2x + 5y = 9. |
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A. |
x = t and y = 9 - 5t |
B. |
x = -t and  |
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C. |
x = t and y = -2t + 5 |
D. |
x = t and |
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Hint |
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5. |
Which of the following is a dilation matrix? |
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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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6. |
If both the initial and terminal points of a vector are at the origin, the vector is __________. |
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A. |
linearly independent |
B. |
the zero vector |
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C. |
positive |
D. |
negative |
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Hint |
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7. |
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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8. |
Let C = (4, 17), D. = (-11, 2). Write  as a sum of unit vectors. |
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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. |
Find the ordered triple that represents the vector from S(9, -2, -11) to T(2, 2, 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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10. |
Find  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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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. |
-2.9° |
B. |
-10.4° |
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C. |
10.4° |
D. |
0° |
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Hint |
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12. |
Find the magnitude 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. |
11.6 N |
B. |
7.4 N |
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C. |
18.1 N |
D. |
15.8 N |
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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 = 3x - 4 |
B. |
y = 8 - x |
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C. |
y = -3t + 12 |
D. |
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Hint |
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14. |
Hetu is playing catch with a friend. If Hetu throws the ball at 21.3 m/s, at an angle of 30° with the horizontal, and his friend catches the ball at the same height from which Hetu threw it, how far away is his friend standing? |
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A. |
23.1 m |
B. |
46.2 m |
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C. |
40.0 m |
D. |
53.4 m |
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Hint |
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15. |
If Jeannette punts a soccer ball into the air with a velocity of 11 m/s at an angle of 58 with the horizontal, what is the vertical velocity of the soccer ball just before it hits the ground? |
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A. |
5.8 m/s |
B. |
9.3 m/s |
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C. |
0 m/s |
D. |
4.9 m/s |
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Hint |
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16. |
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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