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.

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 gt B.) Select the correct answer.

1. 4.2
2. 5.2
3. 8.3
4. 2.8
5. 4.7

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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.

1. 43 km
2. 15 km
3. 53 km
4. 67 km
5. 28 km

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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.

1. 9.9
2. 8.6
3. 22
4. 23
5. 12

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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.

1. 7.1
2. 8.1
3. 14
4. 5.4
5. 11

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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.

1. 238
2. 164
3. 268
4. 283
5. 203

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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.

1. 2.9
2. 4.5
3. 6.4
4. 3.2
5. 5.7

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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.

1. 4.5
2. 6.4
3. 8.9
4. 2.4
5. 5.8

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8
Vectors A and B have equal magnitudes. Which
statement is always true? Select the correct
answer.

1. A - B is perpendicular to A B
2. A - B is parallel to A B
3. A B 0
4. A - B 0
5. The magnitude of A - B equals the magnitude of A
   B

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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.

1. 90 mi, 9
2. 0, 0
3. 0, 9
4. 0, 10
5. 100 mi, 10

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