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Three vertices of triangle ABC are A (3...

Three vertices of triangle ABC are A (3 , 2 , -1) B ( - 1 , -1 , -1) and C ( 1, 5, 5) , if the internal bisector of `angleBAC` meets the opposite side `overline(BC)` at D , then find the coordinates of D .

Text Solution

Verified by Experts

The correct Answer is:
`((5 xx 1 + 7 xx(-1))/(5 + 7), ( 5 xx 5 + 7 xx (-1))/(5 + 7),( 5 xx 5 + 7 xx (-1))/(5 + 7) )`
` =(-(2)/(12) ,(18)/(12) , (18)/(12)) = ( - (1)/(6) , (3) /(2),(3)/(2))`
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