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If A ,B ,C ,D are four distinct point in...

If `A ,B ,C ,D` are four distinct point in space such that `vec(A B)` is not perpendicular to `vec(C D)` and satisfies ` vec (A B).vec (C D)=k(| vec(A D)|^2+| vec(B C)|^2-| vec(A C)|^2-| vec(B D)|^2),` then find the value of `kdot`

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