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Given an equilateral triangle ABC with side length equal to 'a'. Let M and N be two points respectivelyАВIn the side AB and AC such that `vec(AN) = Kvec(AC) and vec(AM) = vec(AB)/3` If `vec(BN) and vec(CM)` are orthogonalthen the value of K is equal to

A

`(1)/(5)`

B

`(1)/(4)`

C

`(1)/(3)`

D

`(1)/(2)`

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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
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