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1. |
A ship leaving port sails for 100 miles in a direction 40° north of due east. Find the magnitude of the vertical and horizontal components. |
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A. |
about 50 miles; about 87 miles |
B. |
about 77 miles; about 84 miles |
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C. |
about 64 miles; about 77 miles |
D. |
about 87 miles; about 50 miles |
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Hint |
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2. |
Let  . Find  . |
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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. |
Write  as a sum of unit vectors for A(3, -1) and B(8, 6). |
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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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4. |
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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5. |
Find the inner product of  and  if  and  . |
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A. |
-12 |
B. |
14 |
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C. |
-8 |
D. |
-14 |
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Hint |
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6. |
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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7. |
Write an equation in slope-intercept form of the line whose parametric equations are x = -6 + 3t and y = 5 - 4t. |
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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. |
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 13 ft/s |
B. |
about 11 ft/s, about 10 ft/s |
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C. |
about 14 ft/s, about 12 ft/s |
D. |
about 10 ft/s, about 22 ft/s |
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Hint |
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9. |
Write a matrix that will translate a triangular prism using the vector  . |
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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. |
If a rectangular prism represented by the vertex matrix below is translated using the vector , find the vertex matrix for the translated image. |
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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 vector for the diagram. |
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A. |
55° |
B. |
60° |
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C. |
18.4° |
D. |
71.6° |
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Hint |
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12. |
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. |
is a scalar |
D. |
has no direction |
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Hint |
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13. |
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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14. |
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. |
7.4 N |
B. |
11.6 N |
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C. |
15.8 N |
D. |
18.1 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. |
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. |
4.9 m/s |
B. |
0 m/s |
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C. |
9.3 m/s |
D. |
5.8 m/s |
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Hint |
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