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3D Geometry question

2024 · 1 Feb · Shift 2 · Q33

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JEE Main
Mathematics
3D Geometry
2024 · 1 Feb · Shift 2 · Q33

3D Geometry question

2024 · 1 Feb · Shift 2 · Q33

JEE MainMathematics3D GeometryMCQ+4 / −1

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

at

D

, then the length of the projection of the vector

\overrightarrow{A D}

on the vector

\overrightarrow{A C}

is :

A
$\frac{37}{2 \sqrt{38}}$
B
$\sqrt{19}$
C
$\frac{39}{2 \sqrt{38}}$
D
$\frac{\sqrt{38}}{2}$

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