If 4veci+7vecj+8veck,2veci+3vecj+4veck a...

If `4veci+7vecj+8veck`,`2veci+3vecj+4veck` and `2veci+5vecj+7vecj` are the position vectors of the vertices of A,B and C of a triangle ABC, then the position vector of the point where the bisector of `/_A` meets BC

A

`1/3(6overset(^)i+13overset(^)j+18overset(^)k)`

B

`3/2(6overset(^)i+12overset(^)j-8overset(^)k)`

C

`1/3(-6overset(^)i-8overset(^)j-9overset(^)k)`

D

`2/3(-6overset(^)i-12overset(^)j+8overset(^)k)`

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The correct Answer is:

A

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