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Question

If the magnitude of the resultant of two vectors of equal magnitudes is equal to the magnitude of either vectors, then the angle between two vectors is

A
125o
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B
130o
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C
110o
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D
120o
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Solution

The correct option is D 120oAccording to the question magnitude of the resultant of the two vectors is equal to the magnitude of the either vectors.So,Let →A and →B be given two vectors.We can write, |→A|=|→B|=|→R| = x(say)We know that the magnitude of the vecors is given as R=√A2+B2+2ABcosθOr, x2=x2+x2+2x2cosθOr, −x2=2x2cosθAfter solving cosθ=−12Therefore, θ=120∘Hence the angle between the two vectors is θ=1200

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