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Vector Algebra question

2024 · 27 Jan · Shift 2 · Q50

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JEE Main
Mathematics
Vector Algebra
2024 · 27 Jan · Shift 2 · Q50

Vector Algebra question

2024 · 27 Jan · Shift 2 · Q50

JEE MainMathematicsVector AlgebraMCQ+4 / −1

The position vectors of the vertices

\mathrm{A}, \mathrm{B}

and

\mathrm{C}

of a triangle are

2 \hat{i}-3 \hat{j}+3 \hat{k}, 2 \hat{i}+2 \hat{j}+3 \hat{k}

and

-\hat{i}+\hat{j}+3 \hat{k}

respectively. Let

l

denotes the length of the angle bisector

\mathrm{AD}

of

\angle \mathrm{BAC}

where

\mathrm{D}

is on the line segment

\mathrm{BC}

, then

2 l^2

equals :

A
45
B
50
C
42
D
49

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