A=(−1,2,−3), B=(5,0,−6), C=(0,4,−1) are the vertices of a triangle. The d.c’s of the internal bisector of ∠BAC are

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25714,−8714,−5714

574,674,874

25714,8714,5714

−574,674,−874

answer is C.

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Detailed Solution

Bisector of ∠A meets BC at D BD:DC=AB:AC=7:3⇒D=1510, 2810, −2510d.r's of AD=2510,810,510 = (25,8,5)d,c's of AD=25714,8714,5714

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