If \[4\hat{i}+7\hat{j}+8\hat{k},\,\,2\hat{i}+3\hat{j}+4\hat{k}\] and \[2\hat{i}+5\hat{j}+7\hat{k}\] are the position vectors of the vertices A, B and C, respectively, of triangle ABC, then the position vector of the point where the bisector of angle A meets BC is

\[\frac{1}{3}(5\hat{j}+12\hat{k})\]

\[\frac{2}{3}(-6\hat{i}-8\hat{j}-6\hat{k})\]

\[\frac{2}{3}(6\hat{i}+8\hat{j}+6\hat{k})\]

\[\frac{1}{3}(6\hat{i}+8\hat{j}\,+18\hat{k})\]

If \[4\hat{i}+7\hat{j}+8\hat{k},\,\,2\hat{i}+3\hat{j}+4\hat{k}\] and \

1.	If \[4\hat{i}+7\hat{j}+8\hat{k},\,\,2\hat{i}+3\hat{j}+4\hat{k}\] and \[2\hat{i}+5\hat{j}+7\hat{k}\] are the position vectors of the vertices A, B and C, respectively, of triangle ABC, then the position vector of the point where the bisector of angle A meets BC is
A.	\[\frac{2}{3}(-6\hat{i}-8\hat{j}-6\hat{k})\]
B.	\[\frac{2}{3}(6\hat{i}+8\hat{j}+6\hat{k})\]
C.	\[\frac{1}{3}(6\hat{i}+8\hat{j}\,+18\hat{k})\]
D.	\[\frac{1}{3}(5\hat{j}+12\hat{k})\]
Answer» D. \[\frac{1}{3}(5\hat{j}+12\hat{k})\]

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If \[4\hat{i}+7\hat{j}+8\hat{k},\,\,2\hat{i}+3\hat{j}+4\hat{k}\] and \[2\hat{i}+5\hat{j}+7\hat{k}\] are the position vectors of the vertices A, B and C, respectively, of triangle ABC, then the position vector of the point where the bisector of angle A meets BC is

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