The resultant of the forces P and Q is R. If Q is double then the resultant also doubles in magnitude. Find the angle between P and Q.

(A)  cos θ=Q2P

(B)  cos θ=-4Q3P

(C)  cos θ=-2Q3P

(D)  cos θ=-3P4Q

Concept Questions :-

Resultant of Vectors
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The maximum and minimum magnitude of the resultant of two vectors are 17 units and 7 units respectively. Then the magnitude of resultant of the vectors when they act perpendicular to each other is:

(A)  14

(B)  16

(C)  18

(D)  13

Concept Questions :-

Resultant of Vectors
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A vector A makes an angle of 20° and B makes an angle of 110° with the X-axis. The magnitudes of these vectors are 3 m and 4 m respectively. Find the magnitude of the resultant.

(A)  1

(B)  52

(C)  5

(D)  7

Concept Questions :-

Resultant of Vectors
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A particle is moving westward with a velocity v1=5 m/s. Its velocity changed to v2=5m/s northward. The change in velocity vector V=v2-v1 is:

(A)  52 m/s  towards north east

(B)  5 m/s  towards north west

(C)  zero

(D)  52 m/s towards north west

Concept Questions :-

Resultant of Vectors
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Consider east as positive x-axis, north as positive y-axis and vertically upward direction as z-axis. A helicopter first rises up to an altitude of 100 m than flies straight in north 500 m and then suddenly takes a turn towards east and travels 1000 m east. What is position vector of helicopter. (Take starting point as origin)

(A)  1000 i^-500 j^+100 k^

(B)  1000 i^+500 j^-100 k^

(C)  1000 i^+500 j^+100 k^

(D)  -1000 i^+500 j^+100 k^

Concept Questions :-

Resultant of Vectors
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A force F=6i^-8j^+10k^ Newton produces acceleration 1 m/s2 in a body. The mass of the body is (in kg)

(A)  6i^-8j^+10k^

(B)  100

(C)  102

(D)  10

Concept Questions :-

Resultant of Vectors
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A=i^+j^-k^ ; B=2i^+3j^+5k^ angle between A and B is

(A)  120°

(B)  90°

(C)  60°

(D)  30°

Concept Questions :-

Scalar Product
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Given the vectors

                         A=2i^+3j^-k^                         B=3i^-2j^-2k^&                      C=pi^+pj^+2pk^

Find the angle between A-B & C

(A)  θ=cos-123

(B)  θ=cos-132

(C)  θ=cos-123

(D)  none of these

Concept Questions :-

Scalar Product
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If vector P, Q and R have magnitude 5, 12 and 13 units and P+Q=R the angle between Q and R is -

(A)  cos-1 512

(B)  cos-1 513

(C)  cos-1 1213

(D)  cos-1 213

Concept Questions :-

Resultant of Vectors
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The vector having a magnitude of 10 and perpendicular to the vector 3i^-4j^ is 

1. 4i^+3j^

2. 52 i^-52 j^

3. 8i^+6j^

4.  8i^-6j^

Concept Questions :-

Scalar Product
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