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If |vec(P) + vec(Q)| = |vec(P) - vec(Q)|...

If `|vec(P) + vec(Q)| = |vec(P) - vec(Q)|` , find the angle between `vec(P)` and `vec(Q)`.

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Let the angle be `theta`
Given , |p+Q|=|p-Q|
`therefore`Magnitude of both sides are also equal.
`thereforesqrt(P^(2)+Q^(2)+2PQcostheta)=sqrt(P^(2)+Q^(2)+2PQcos(180^(@)-theta))`
` 4PQcostheta=0impliescostheta=0`
`theta=90^(@)`
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