The vertices f the triangle are `A(5,4,6),\ B(1,-1,3)n a d\ C(4,3,2)dot` The internal bisector of angle A meets BC at D. Find the coordinates of D and the length AD.

Explanation

The vertices f the triangle are `A(5,4,6),\ B(1,-1,3)n a d\ C(4,3,2)dot`


`AB= sqrt[(5-1)^2+(4+1)^2+(6-3)^2]`


`AC=sqrt[(5-4)^2+(4-3)^2+(6-2)^2]`


Given that, `AB:AC=5:3`


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