A particle moves from a point (-2i^+5j^) to (4j^+3k^) when a force of (4i^+3j^) N is applied. How much work has been done by the force?

1.  8 J

2.  11 J

3.  5 J

4.  2 J

Subtopic:  Scalar Product |
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If the magnitude of the sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is

1. 90o

2. 45o

3. 180o

4. 0o

Subtopic:  Resultant of Vectors |
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If vectors A=cosωti^+sinωtj^ and B=cos ωt2i^+sin ωt2j^ are functions of time. Then, at what value of t are they orthogonal to one another?

1. t=π4ω

2. t=π2ω

3. t=πω

4. t=0

Subtopic:  Scalar Product |
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Six vectors a through f have the magnitudes and directions indicated in the figure. Which of the following statements is true? 

1. b+c=f

2. d+c=f

3. d+e=f

4. b+e=f

Subtopic:  Resultant of Vectors |
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Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is 
                 

1.  0.5 N

2.  1.5 N

3.  34 N

4.  3 N

Subtopic:  Resultant of Vectors |
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A and B are two vectors and θ is the angle between them. If A×B=3A.B, then the value of θ will be:

1. 60o

2. 45o

3. 30o

4. 90o

Subtopic:  Scalar Product | Vector Product |
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The vectors A and B are such that: A+B=A-B.
The angle between the two vectors is:

1. 90o

2. 60o

3. 75o

4. 45o

Subtopic:  Resultant of Vectors |
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If a vector (2i^+3j^+8k^) is perpendicular to the vector (4i^-4j^+αk^), then the value of α is

1. -1

2. -12

3. 12

4. 1

Subtopic:  Scalar Product |
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If the angle between the vector A and B is θ, the value of the product (B×A)A is equal to

1. zero

2. BA2sinθcosθ

3. BA2cosθ

4. BA2sinθ

Subtopic:  Scalar Product | Vector Product |
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 If |A×B|=3AB, then the value of |A+B| is: 

1. (A2+B2+AB3)1/2

2. A+B

3. (A2+B2+3AB)1/2

4. (A2+B2+AB)1/2

Subtopic:  Scalar Product | Vector Product |
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