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Two vectors $\vec{A}$ and $\vec{B}$ are such that $|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}|$ . The angle between the vectors $\vec{A}$ and $\vec{B}$ is :

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π/3

π/2

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detailed solution

Correct option is C

A→+B→=A→−B→ ⇒ A2+B2+2ABcosθ=A2+B2-2ABcosθ ⇒ cosθ=0 ⇒ θ=π2.

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Two vectors A→and B→ are such that A→+B→=A→-B→. The angle between the vectors A→ and B→ is :

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Ready to Test Your Skills?

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Two vectors $\vec{A}$ and $\vec{B}$ are such that $|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}|$ . The angle between the vectors $\vec{A}$ and $\vec{B}$ is :