, and are the vertices of a triangle . If the bisector of meets at , then coordinates…

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

A(3, 2, 0)

B(5, 3, 2)

and

C(-9, 6, -3)

are the vertices of a triangle

ABC

. If the bisector of

\angle ABC

meets

BC

D

, then coordinates of

D

are (1)

\left(\frac{19}{8}, \frac{57}{16}, \frac{17}{16}\right)

(2)

\left(-\frac{19}{8}, \frac{57}{16}, \frac{17}{16}\right)

(3)

\left(\frac{19}{8}, -\frac{57}{16}, \frac{17}{16}\right)

(4) None of these