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Vector Algebra question

2018 · 15 Apr · Shift 2 · Q30

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2018 · 15 Apr · Shift 2 · Q30

Vector Algebra question

2018 · 15 Apr · Shift 2 · Q30

JEE MainMathematicsVector AlgebraMCQ+4 / −1

If the position vectors of the vertices A, B and C of a

\Delta

ABC are respectively

4\widehat i + 7\widehat j + 8\widehat k,2\widehat i + 3\widehat j + 4\widehat k,

and

2\widehat i + 5\widehat j + 7\widehat k,

then the position vectors of the point, where the bisector of

\angle

A meets BC is :

A
${1 \over 2}\left( {4\widehat i + 8\widehat j + 11\widehat k} \right)$
B
${1 \over 3}\left( {6\widehat i + 11\widehat j + 15\widehat k} \right)$
C
${1 \over 3}\left( {6\widehat i + 13\widehat j + 18\widehat k} \right)$
D
${1 \over 4}\left( {8\widehat i + 14\widehat j + 19\widehat k} \right)$

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