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Vector Algebra question

2022 · 25 Jul · Shift 2 · Q34

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JEE Main
Mathematics
Vector Algebra
2022 · 25 Jul · Shift 2 · Q34

Vector Algebra question

2022 · 25 Jul · Shift 2 · Q34

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\vec{a}=\hat{i}-\hat{j}+2 \hat{k}

and let

\vec{b}

be a vector such that

\vec{a} \times \vec{b}=2 \hat{i}-\hat{k}

and

\vec{a} \cdot \vec{b}=3

. Then the projection of

\vec{b}

on the vector

\vec{a}-\vec{b}

is :

A
$\frac{2}{\sqrt{21}}$
B
$2 \sqrt{\frac{3}{7}}$
C
$\frac{2}{3} \sqrt{\frac{7}{3}}$
D
$\frac{2}{3}$

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