Transcript If two collinear vectors A and B are added, the resultant

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.
2.
3.
4.
5.
4.2
5.2
8.3
2.8
4.7
20% 20% 20% 20% 20%
1
2
3
4
5
6
7
8
9
10
11
12
113
14
21
22
23
24
25
26
27
28
29
30
31
32
33
34
41
42
43
44
45
46
47
48
49
50
2
15
16
3
17
418
19
35
36
37
38
39
5
20
40
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.
2.
3.
4.
5.
20% 20% 20% 20% 20%
43 km
15 km
53 km
67 km
28 km
1
2
3
4
5
6
7
8
9
10
11
12
113
14
21
22
23
24
25
26
27
28
29
30
31
32
33
34
41
42
43
44
45
46
47
48
49
50
2
15
16
3
17
418
19
35
36
37
38
39
5
20
40
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.
2.
3.
4.
5.
9.9
8.6
22
23
12
20% 20% 20% 20% 20%
1
2
3
4
5
6
7
8
9
10
11
12
113
14
21
22
23
24
25
26
27
28
29
30
31
32
33
34
41
42
43
44
45
46
47
48
49
50
2
15
16
3
17
418
19
35
36
37
38
39
5
20
40
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.
2.
3.
4.
5.
7.1
8.1
14
5.4
11
20% 20% 20% 20% 20%
1
2
3
4
5
6
7
8
9
10
11
12
113
14
21
22
23
24
25
26
27
28
29
30
31
32
33
34
41
42
43
44
45
46
47
48
49
50
2
15
16
3
17
418
19
35
36
37
38
39
5
20
40
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.
2.
3.
4.
5.
20% 20% 20% 20% 20%
238°
164°
268°
283°
203°
1
2
3
4
5
6
7
8
9
10
11
12
113
14
21
22
23
24
25
26
27
28
29
30
31
32
33
34
41
42
43
44
45
46
47
48
49
50
2
15
16
3
17
418
19
35
36
37
38
39
5
20
40
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.
3.
4.
5.
2.9
4.5
6.4
3.2
5.7
20% 20% 20% 20% 20%
1
2
3
4
5
6
7
8
9
10
11
12
113
14
21
22
23
24
25
26
27
28
29
30
31
32
33
34
41
42
43
44
45
46
47
48
49
50
2
15
16
3
17
418
19
35
36
37
38
39
5
20
40
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.
2.
3.
4.
5.
4.5
6.4
8.9
2.4
5.8
20% 20% 20% 20% 20%
1
2
3
4
5
6
7
8
9
10
11
12
113
14
21
22
23
24
25
26
27
28
29
30
31
32
33
34
41
42
43
44
45
46
47
48
49
50
2
15
16
3
17
418
19
35
36
37
38
39
5
20
40
Vectors A and B have equal magnitudes.
Which statement is always true? Select
the correct answer.
20% 20% 20% 20% 20%
1.
2.
3.
4.
5.
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
113
14
21
22
23
24
25
26
27
28
29
30
31
32
33
34
41
42
43
44
45
46
47
48
49
50
2
15
16
3
17
418
19
35
36
37
38
39
5
20
40
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.
2.
3.
4.
5.
90 mi, 9
0, 0
0, 9
0, 10
100 mi, 10
20% 20% 20% 20% 20%
1
2
3
4
5
6
7
8
9
10
11
12
113
14
21
22
23
24
25
26
27
28
29
30
31
32
33
34
41
42
43
44
45
46
47
48
49
50
2
15
16
3
17
418
19
35
36
37
38
39
5
20
40