If the angle between vector a and b is an acute angle, then the difference a-b is -

(A)  the main diagonal of the parallelogram

(B)  the minor diagonal of the parallelogram

(C)  any of the above

(D)  none of the above

Concept Questions :-

Resultant of Vectors
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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?

(A)  18 i^-6 j^

(B)  32 i^-13 j^

(C)  -18 i^+6 j^ 

(D)  -25 i^+13 j^ 

Concept Questions :-

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

(A)  i^

(B)  j^

(C)  i^+j^/13

(D)  5 i^-12 j^/13

Concept Questions :-

Resultant of Vectors
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A child pulls a box with a force of 200 N at an angle of 60°above the horizontal. Then the horizontal and vertical components of the force are -

              

(A)  100 N, 175 N

(B)  86.6 N, 100 N

(C)  100 N, 86.6 N

(D)  100 N, 0 N

Concept Questions :-

Resolution of vectors
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A man rows a boat with a speed of 18 km/hr in northwest direction. The shoreline makes an angle of 15° south of west. Obtain the component of the velocity of the boat along the shoreline.

(A)  9 km/hr

(B)  1832 km/hr

(C)  18 cos 15° km/hr

(D)  18 cos 75° km/hr

Concept Questions :-

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:

(A)  5i^-2j^

(B)  54i^+2j^

(C)  0.6i^+0.8j^

(D)  6i^+8j^

Concept Questions :-

Resultant of Vectors
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Which of the following is perpendicular to i^-j^-k^ ?

(A)  i^+j^+k^

(B)  -i^+j^+k^

(C)  i^+j^-k^

(D)  None of these

Concept Questions :-

Scalar Product
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If the angle between the unit vectors a^ and b^ is 60°, then |a^-b^| is :

(A)  0

(B)  1

(C)  2

(D)  4

Concept Questions :-

Resultant of Vectors
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For the figure -

    

1.  A+B=C

2.  B+C=A

3.  C+A=B

4.  A+B+C=0

Concept Questions :-

Resultant of Vectors
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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?

(A)  9 Joule

(B)  41 Joule

(C)  -3 Joule

(D)  None of these

Concept Questions :-

Scalar Product
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