If the position vectors of the vertices A, B and C of a Δ ABC are respectively 4 i + 7 j + 8 k, 2 i + 3 j + 4 k, and 2 i + 5 j + 7 k, then the position vectors of the point, where the bisector of A meets BC is:

Vector Algebra: JEE Main 2018 Mathematics question

JEE Main 2018 · 15 Apr, Evening shift · Q5688

JEE Main 201815 Apr, Evening shiftMathematicsHardVector Algebra184× since 2002

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 :