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Question

Mathematics Question on Three Dimensional Geometry

The direction cosines of two rays AB\overrightarrow{AB} and AC\overrightarrow{AC} are (12,12,1)\left( \frac{1}{2},\frac{1}{2},-1 \right) and (27,37,67).\left( \frac{2}{7},\frac{-3}{7},\frac{6}{7} \right). The direction ratios of one of the bisectors of angle (AB,AC)\left( \overrightarrow{AB},\overrightarrow{AC} \right) are

A

(13,5,4)(13,\,-5,\,\,4)

B

(13,5,5)(13,\,5,\,\,-5)

C

(13,5,4)(13,\,5,4)

D

NoneoftheseNone\, of\, these

Answer

NoneoftheseNone\, of\, these

Explanation

Solution

In this question we are given direction ratios of one ray and direction cosines of other ray and called as direction cosines of both which is wrong.