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If 4 hat i+7 hat j+8 hat k ,2 hat i+3 ha...

If `4 hat i+7 hat j+8 hat k ,2 hat i+3 hat j+24a n d2 hat i+5 hat j+7 hat k` are the position vectors of the vertices `A ,Ba n dC ,` respectively, of triangle `A B C` , then the position vecrtor of the point where the bisector of angle `A` meets `B C` is a. `2/3(-6 hat i-8 hat j- hat k)` b. `2/3(6 hat i+8 hat j+6 hat k)` c. `1/3(6 hat i+13 hat j+18 hat k)` d. `1/3(5 hat j+12 hat k)`

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