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If |vec(A)+vec(B)|=|vec(A)-vec(B)|, then...

If `|vec(A)+vec(B)|=|vec(A)-vec(B)|`, then find the angle between `vec(A)` and `vec(B)`

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`:' |vec(A)+vec(B)|=|vec(A)-vec(B)| :. sqrt(A^(2)+B^(2)+2AB cos theta)=sqrt(A^(2)+B^(2)-2AB cos theta)`
or `A^(2)+B^(2)+2AB cos theta=A^(2)+B^(2)-2AB cos theta` or `cos theta=0 :. theta=90^(@)`
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