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 |
To view explanation, please take trial in the course below.
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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 |
To view explanation, please take trial in the course below.
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