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If `A ,B ,C ,D` are four distinct point in space such that `A B` is not perpendicular to `C D` and satisfies ` vec A Bdot 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`

A

`1//2`

B

`1`

C

`3//2`

D

`2`

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A
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