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Vector Algebra question

2023 · 6 Apr · Shift 1 · Q31

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JEE Main
Mathematics
Vector Algebra
2023 · 6 Apr · Shift 1 · Q31

Vector Algebra question

2023 · 6 Apr · Shift 1 · Q31

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\vec{a}=2 \hat{i}+3 \hat{j}+4 \hat{k}, \vec{b}=\hat{i}-2 \hat{j}-2 \hat{k}

and

\vec{c}=-\hat{i}+4 \hat{j}+3 \hat{k}

. If

\vec{d}

is a vector perpendicular to both

\vec{b}

and

\vec{c}

, and

\vec{a} \cdot \vec{d}=18

, then

|\vec{a} \times \vec{d}|^{2}

is equal to :

A
680
B
720
C
760
D
640

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