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$\hat{u_{1}} and \hat{u_{2}}$ are two unit vectors such that $|\hat{u_{1}} + \hat{u_{2}}| = 2 |\hat{u_{1}} - \hat{u_{2}}|$ .Then the angle between $\hat{u_{1}} and \hat{u_{2}}$ is

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cos−145

cos−123

cos−134

cos−135

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detailed solution

Correct option is D

12+12+2.1.1.cosθ=4(12+12+2.1.1.cosθ)⇒10cosθ=6⇒θ=cos−135

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u1^ and u2^ are two unit vectors such that u1^+u2^=2u1^−u2^ .Then the angle between u1^ and u2^ is

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$\hat{u_{1}} and \hat{u_{2}}$ are two unit vectors such that $|\hat{u_{1}} + \hat{u_{2}}| = 2 |\hat{u_{1}} - \hat{u_{2}}|$ .Then the angle between $\hat{u_{1}} and \hat{u_{2}}$ is