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Vector Algebra question

2024 · 6 Apr · Shift 2 · Q37

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JEE Main
Mathematics
Vector Algebra
2024 · 6 Apr · Shift 2 · Q37

Vector Algebra question

2024 · 6 Apr · Shift 2 · Q37

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\vec{a}=2 \hat{i}+\hat{j}-\hat{k}, \vec{b}=((\vec{a} \times(\hat{i}+\hat{j})) \times \hat{i}) \times \hat{i}

. Then the square of the projection of

\vec{a}

on

\vec{b}

is:

A
$\frac{1}{3}$
B
$\frac{1}{5}$
C
2
D
$\frac{2}{3}$

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