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.
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
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

A andB are vectors with angle θ between them such that 0 < θ < 90°. If A , B  and A +B  are the magnitudes of vectorsA ,B andA +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 

Which of the following is a unit vector in the same direction as vectorA = 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

IfA andB are vectors, thenA ·(A ×B ) =
A) A ^{ 3}
B) 0
C) A ^{ 2}
D) 1
E) A 

VectorU has a magnitude of 3 and points Northward. VectorV has a magnitude of 7 and points Eastward. U +V  is the magnitude of vectorU +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

Given vectorsU = 2 i + 2j andV = 2i  2j. What angle does the vectorU V make with the positive x  axis?
A) 0 °
B) 45 °
C) 90 °
D) 90 °
E) 45 °

Two forcesF1 andF2 are used to pull an object. The angle 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 °

Two forcesF1 = 3i + bj andF2 = 9i + 12j act on the same object.(i and j are the unit vector along the positive xand 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

Find m so that the vectorsA = 5 i  10 j andB = 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