the vertices of a triangle ABC are A (3,2,0), B(5,3,2) and C (-9,6,-3). the bisector AD of angle A meets BC at D. find the coordinates of D.

Given that: ABC is a triangle and bisector AD of angle A meets BC at D.

Since AD is the bisector of, we have,

       …… (1)                                    

Now,

Substitute these values in equation (1), we get,

D divides BC in the ratio 3:13

The coordinate of D are,