When a force of magnitude F acts on a body of mass m the acceleration produced in the body is a. If three coplanar forces of equal magnitude F act on the same body as shown in the figure, then acceleration produced is

                                

1.  0

2.  3 +1a

3.  3 -1a

4.  3a

Subtopic:  Resultant of Vectors |
 81%
From NCERT
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Three forces each of magnitude 1 N act along with the sides AB, BC, and CD of a regular hexagon. The magnitude of their resultant is:

                                

(1) 4N 

(2) Zero

(3) 2 N

(4) 1 N

Subtopic:  Resultant of Vectors |
From NCERT
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If a unit vector j^ is rotated through an angle of 45° anticlockwise, then the new vector will be:

1.  2i^ + 2j^

2.  i^ + j^

3.  12i^ + 12j^

4.  -12i^ + 12j^

Subtopic:  Resolution of Vectors |
 56%
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If a = 2i^ + j^ and b = 3i^ + 2j^, then a × b=? 

1.  1

2.  65

3.  8

4.  4 

Subtopic:  Vector Product |
 75%
From NCERT
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A and B are two vectors given by A = 2i^ + 3j^ and B = i^ + j^. The component of A→   parallel to B is:

1.  122i^ - j^

2.  52i^ - j^

3.  52i^ + j^

4.  3i^ - 2j^2

Subtopic:  Scalar Product |
 65%
From NCERT
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If a vector is inclined at angles, α, β, and γ with x, y, and z-axis respectively, then the value of sin2 α + sin2 β+ sin2 γ is equal to

1. 0

2. 1

3. 2

4. 12

Subtopic:  Trigonometry |
 54%
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If p^ is the unit vector in the direction B, then:

1.  p^ = BB

2.  p^ = B × B

3.  p^ = BB

4.  p^ = BB

Subtopic:  Resolution of Vectors |
 83%
From NCERT
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Which of the following sets of forces cannot give zero resultant?

(1) 3 N, 4 N, 5 N

(2) 9 N, 8 N, 7 N

(3) 16 N, 2 N, 17 N

(4) 30 N, 5 N, 24 N

Subtopic:  Resultant of Vectors |
 65%
From NCERT
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If two force vectors A and B of the same magnitude are arranged in the following manner, the magnitude of resultant is maximum for?

                    

(1) (I)

(2) (II)

(3) Both (II) & (III)

(4) Both (I) & (II)

Subtopic:  Resultant of Vectors |
 64%
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The minimum number of non-coplanar vectors whose vector sum can be zero is:

(1) 2

(2) 3

(3) 4

(4) 5

Subtopic:  Resultant of Vectors |
 50%
From NCERT
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