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If 4hati+ 7hatj+ 8hatk, 2hati+ 3hatj+ 4h...

If `4hati+ 7hatj+ 8hatk, 2hati+ 3hatj+ 4hatk and 2hati+ 5hatj+7hatk` are the position vectors of the vertices A, B and C, respectively, of triangle ABC, then the position vector of the point where the bisector of angle A meets BC is

A

`(2)/(3) (-6i -8j -6k)`

B

`(2)/(3)(6i + 8j + 6k)`

C

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

D

`(1)/(3)(5i + 12k)`

Text Solution

Verified by Experts

The correct Answer is:
C
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