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Given an equilateral triangle ABC with s...

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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The correct Answer is:
A
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
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  14. If veca and vecb are othogonal unit vectors, then for a vector vecr no...

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  15. If vector vec i+ 2vec j + 2vec k is rotated through an angle of 90^@...

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  16. 10 different vectors are lying on a plane out of which four are parall...

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  17. If hat(a) is a unit vector and projection of x along hat(a) is 2 units...

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  18. If veca, vecb and vecc are any three non-zero vectors, then the compon...

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  19. The position vector of a point P is r=xhat(i)+yhat(j)+hat(k)z, where x...

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