Mathematics

Mathematics

Problem

A(3,2,0)A(3, 2, 0) , B(5,3,2)B(5, 3, 2) and C(−9,6,−3)C(-9, 6, -3) are the vertices of a triangle ABCABC . If the bisector of ∠ABC\angle ABC meets BCBC at DD , then coordinates of DD are a. (198,5716,1716)\left(\frac{19}{8}, \frac{57}{16}, \frac{17}{16}\right) b. (−198,5716,1716)\left(-\frac{19}{8}, \frac{57}{16}, \frac{17}{16}\right) c. (198,−5716,1716)\left(\frac{19}{8}, -\frac{57}{16}, \frac{17}{16}\right) d. None of these

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