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  4. Let A(3,2,0), B(5,3,2), C(-9,6, -3) be three points forming a triangle. AD, the bisector of ∠BAC, meets BC at D. Find the coordinates of the point D.

Q. Let , , be three points forming a triangle. , the bisector of , meets at . Find the coordinates of the point .

Introduction to Three Dimensional Geometry Report Error

Solution:





Since is the bisector of , we have


( Internal bisector of angle of a triangle divides the opposite side in the ratio of sides containing the angle).
i.e., divides in the ratio .
Hence, the coordinates of are

.

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