The position vectors of the vertices A, B, and C of a triangle ar… | JEE Main 2024 Mathematics PYQ

MCQEasyJEE Main 2024 · 27 January, Shift 2Basics of Vectors

The position vectors of the vertices A, B, and C of a triangle are $\vec{A} = 2\hat{i} - 3\hat{j} + 3\hat{k}$ , $\vec{B} = 2\hat{i} + 2\hat{j} + 3\hat{k}$ , and $\vec{C} = -\hat{i} + \hat{j} + 3\hat{k}$ respectively. If $\ell$ is the length of the angle bisector $AD$ of $\angle BAC$ , then $2\ell^2$ equals:

A
$49$
B
$42$
C
$50$
D
$45$

Answer & step-by-step solution

Practice more Basics of Vectors questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Basics of Vectors

Answer & step-by-step solution

Practice more Basics of Vectors questions

Related questions