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Vector Algebra question

2025 · 24 Jan · Shift 2 · Q38

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JEE Main
Mathematics
Vector Algebra
2025 · 24 Jan · Shift 2 · Q38

Vector Algebra question

2025 · 24 Jan · Shift 2 · Q38

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow{\mathrm{a}}=3 \hat{i}-\hat{j}+2 \hat{k}, \overrightarrow{\mathrm{~b}}=\overrightarrow{\mathrm{a}} \times(\hat{i}-2 \hat{k})

and

\overrightarrow{\mathrm{c}}=\overrightarrow{\mathrm{b}} \times \hat{k}

. Then the projection of

\overrightarrow{\mathrm{c}}-2 \hat{j}

on

\vec{a}

is :

A
$2 \sqrt{7}$
B
$3 \sqrt{7}$
C
$\sqrt{14}$
D
$2 \sqrt{14}$

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