Consider a A B C where A(1,3,2), B(-2,8,0) and C(3,6,7). If the angle bisector of B A C meets the line B C at D, then the length of the projection of the vector A D on the vector A C is:

Three Dimensional Geometry: JEE Main 2024 Mathematics question

JEE Main 2024 · 1 Feb, Evening shift · Q2381

JEE Main 20241 Feb, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Consider a

\triangle A B C

where

A(1,3,2), B(-2,8,0)

and

C(3,6,7)

. If the angle bisector of

\angle B A C

meets the line

B C

D

, then the length of the projection of the vector

\overrightarrow{A D}

on the vector

\overrightarrow{A C}

is :