Consider a triangle ABC where A(1,3,2), B(-2,8,0), and C(3,6,7).… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 1 February, Shift 2Coordinates in 3D

Consider a triangle $ABC$ where $A(1,3,2)$ , $B(-2,8,0)$ , and $C(3,6,7)$ . If the angle bisector of angle $BAC$ meets the line $BC$ at $D$ , then the length of the projection of the vector $\overrightarrow{AD}$ on the vector $\overrightarrow{AC}$ is:

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

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