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Q.

Two vectors of same magnitude act at a point. Twice the product of the magnitudes of two vectors is equal to the square of the magnitude of their resultant. The angle between the two vectors is

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a

90°

b

60°

c

30°

d

120°

answer is C.

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Detailed Solution

Let the magnitude of the vector be A.

The magnitude of resultant is $R = \sqrt{A^{2} + A^{2} + 2 A^{2} \cos θ}$

$2 A^{2} = R^{2} = 2 A^{2} + 2 A^{2} \cos θ$

$\cos θ = 0 \Rightarrow θ = 90^{o}$

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