Two forces, F1 and F2 are acting on a body. One force is doubled of the other force and the resultant is equal to the greater force. Then the angle between the two forces is -

(A)  cos-1 1/2

(B)  cos-1 -1/2

(C)  cos-1 -1/4

(D)  cos-1 1/4

Subtopic:  Resultant of Vectors |
 60%
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If the angle between vector a and b is an acute angle, then the difference a-b is -

(1)  the main diagonal of the parallelogram

(2)  the minor diagonal of the parallelogram

(3)  any of the above

(4)  none of the above

Subtopic:  Resultant of Vectors |
 55%
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What displacement must be added to the displacement 25 i^-6 j^ m  to give a displacement of 7.0 m pointing in the x-direction?

(1)  18 i^-6 j^

(2)  32 i^-13 j^

(3)  -18 i^+6 j^ 

(4)  -25 i^+13 j^ 

Subtopic:  Resultant of Vectors |
 77%
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The value of unit vector in the direction of vector A=5 i^-12 j^, is -

1. i^

2. j^

3. i^+j^/13

4. 5i^-12j^/13

Subtopic:  Resultant of Vectors |
 86%
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A child pulls a box with a force of \(200~\text{N}\) at an angle of \(60^{\circ}\) above the horizontal. Then the horizontal and vertical components of the force will be:
              

1. \(100~\text{N}, ~175~\text{N}\)
2. \(86.6~\text{N}, ~100~\text{N}\)
3. \(100~\text{N}, ~86.6~\text{N}\)
4. \(100~\text{N}, ~0~\text{N}\)

Subtopic:  Resolution of Vectors |
 69%
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A man rows a boat at a speed of \(18~\text{km/hr}\) in the northwest direction. The shoreline makes an angle of \(15^{\circ}\) south of west. The component of the velocity of the boat along the shoreline is:
1. \(9~\text{km/hr}\)
2. \(18\frac{\sqrt{3}}{2}~\text{km/hr}\)
3. \(18\cos 15^{\circ}~\text{km/hr}\)
4. \(18\cos 75^{\circ}~\text{km/hr}\)

Subtopic:  Resolution of Vectors |
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A bird moves from point (1, -2) to (4, 2). If the speed of the bird is 10 m/sec, then the velocity vector of the bird is:

1. 5i^-2j^

2. 54i^+2j^

3. 0.6i^+0.8j^

4. 6i^+8j^

Subtopic:  Resultant of Vectors |
 54%
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If the angle between the unit vectors a^ and b^ is 60°, then |a^-b^| is :

(1)  0

(2)  1

(3)  2

(4)  4

Subtopic:  Resultant of Vectors |
 67%
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For the figure -

    

1.  A+B=C

2.  B+C=A

3.  C+A=B

4.  A+B+C=0

Subtopic:  Resultant of Vectors |
 70%
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Two constant forces F1=2i^-3j^+3k^ N and F2=i^+j^-2k^ N act on a body and displace it from the position r1=i^+2j^-2k^ m to the position r2=7i^+10j^+5k^ m. What is the work done W? [Given : W =F.r]

(A)  9 Joule

(B)  41 Joule

(C)  -3 Joule

(D)  None of these

Subtopic:  Scalar Product |
 62%
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