1. If two collinear vectors A and B are added, the resultant has a magnitude equal to 1.0. If B is subtracted from A, the resultant has a magnitude equal to 9.3. What is the magnitude of B? (Assume |A| > |B|.) Select the correct answer.
4.2
5.2
8.3
2.8
4.7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. Starting from one oasis, a camel walks 27 km in a direction 14° south of west and then walks 40 km toward the north to a second oasis. What distance separates the two oases? Select the correct answer.
43 km
15 km
53 km
67 km
28 km 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. A vector, B, when added to the vector C = 9i + 8j yields a resultant vector which is in the positive y direction and has a magnitude equal to that of C. What is the magnitude of B? Select the correct answer.
9.9
8.6 22 23 12 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. A vector A is added to B = 8i - 7j The resultant vector is in the positive x direction and has a magnitude equal to A. What is the magnitude of A? Select the correct answer.
7.1
8.1 14
5.4 11 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. If C = [5. 3cm. 76°]. i. e. , the magnitude and direction of C are 5
If C = [5.3cm. 76°]. i.e., the magnitude and direction of C are 5.3cm and 76°. D = [3.2 cm. 150°]. and E = D - 2C what is the direction of E (to the nearest degree)? Select the correct answer.
238°
164°
268°
283°
203° 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

6. When vector A is added to vector B, which has a magnitude of 6
When vector A is added to vector B, which has a magnitude of 6.4, the vector representing their sum is perpendicular to A and has a magnitude that is twice that of A. What is the magnitude of A? Select the correct answer.
2.9
4.5
6.4
3.2
5.7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

7. If vector B is added to vector A, the result is 7i + j If B is subtracted from A, the result is -3i + 7j What is the magnitude of A? Select the correct answer.
4.5
6.4
8.9
2.4
5.8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

8. Vectors A and B have equal magnitudes. Which statement is always true
Vectors A and B have equal magnitudes. Which statement is always true? Select the correct answer.
A - B is perpendicular to A + B
A - B is parallel to A + B
A + B = 0
A - B = 0
The magnitude of A - B equals the magnitude of A + B 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

9. A student decides to spend spring break by driving 10 miles due east, then 10 miles 40 degrees south of east, then 10 miles 40 degrees south of that direction, and to continue to drive 10 miles deviating by 40 degrees each time until he returns to his original position. How far will he drive, and how many vectors must he sum to calculate his displacement? Select the correct answer.
90 mi, 9
0, 0
0, 9
0, 10
100 mi, 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50