Sat Physics subject questions on
vectors
similar to the questions in the SAT test are presented. Answers at the bottom of the page with also detailed solutions and explanations included.
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Which of the following is represented by a vector?
I) velocity II) speed III) displacement IV) distance V) force VI) acceleration
A) I only
B) III and IV only
C) I , III, V and VI
D) III, V and VI only
E) None
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Which of the following is not represented by a vector?
I) mass II) electric field III) magnetic field IV) current V) voltage VI) work
A)I , IV, V and VI
B) II and III
C) All
D) I , IV and V only
E) I and IV only
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A and B are vectors with angle θ between them such that 0 < θ < 90°. If | A |, | B | and | A + B | are the magnitudes of vectors A, B and A + B respectively, which of the following is true?
A) | A + B | > | A | + | B |
B) | A + B | = | A | + | B |
C) | A + B | = √(| A |2 + | B |2)
D) | A + B | < √(| A |2 + | B |2)
E) | A + B | < | A | + | B |
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Which of the following is a unit vector in the same direction as vector A = 3 i - 4 j, where i and j are the unit vector along the x and y axis respectively?
A) (3/5) i + (4/5) j
B) (9/5) i - (16/5) j
C) (3/5) i - (4/5) j
D) - (3/5) i + (4/5) j
E) (3/25) i - (4/25) j
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If A and B are vectors, then A ·( A × B ) =
A) | A | 3
B) 0
C) | A | 2
D) 1
E) | A |
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Vector U has a magnitude of 3 and points Northward. Vector V has a magnitude of 7 and points Eastward. | U + V | is the magnitude of vector U + V . Which of the following is true?
A) | U + V | > 10
B) | U + V | = 10
C) | U + V | = √58
D) | U + V | = √10
E) | U + V | = 4
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Given vectors U = 2 i + 2j and V = 2i - 2j. What angle does the vector U - V make with the positive x - axis?
A) 0 °
B) 45 °
C) -90 °
D) 90 °
E) -45 °
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Two forces F1 and F2 are used to pull an object. The angle between between the two forces is θ. For what value of θ is the magnitude of the resultant force equal to √(|F1|2 + |F2|2)
A) 90 °
B) 135 °
C) 45 °
D) 180 °
E) 0 °
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Two forces F1 = 3i + bj and F2 = 9i + 12j act on the same object.(i and j are the unit vector along the positive x-and y- axes). For what value of b will the magnitude of the resultant force be minimum?
A) 0
B) - 12
C) 9
D) - 10
E) 4
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Find m so that the vectors A = 5 i - 10 j and B = 2 m i + (1 / 2) j are parallel.
A) 5
B) - 40
C) 8
D) - 1 / 8
E) - 5
Answers to the Above questions
- C
- A
- E
- C
- B
- C
- D
- A
- B
- D
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