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In a right angled triangle ABC, the hypo...

In a right angled triangle ABC, the hypotenuse AB =p, then `vec(AB).vec(AC) + vec(BC).vec(BA)+vec(CA).vec(CB)` is equal to:

A

`3p^2`

B

`(3p^2)/(2)`

C

`p^2`

D

`p^2/2`

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The correct Answer is:
C
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