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Vector Algebra question

2023 · 13 Apr · Shift 1 · Q25

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JEE Main
Mathematics
Vector Algebra
2023 · 13 Apr · Shift 1 · Q25

Vector Algebra question

2023 · 13 Apr · Shift 1 · Q25

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\vec{a}=\hat{i}+4 \hat{j}+2 \hat{k}, \vec{b}=3 \hat{i}-2 \hat{j}+7 \hat{k}

and

\vec{c}=2 \hat{i}-\hat{j}+4 \hat{k}

. If a vector

\vec{d}

satisfies

\vec{d} \times \vec{b}=\vec{c} \times \vec{b}

and

\vec{d} \cdot \vec{a}=24

, then

|\vec{d}|^{2}

is equal to :

A
313
B
413
C
423
D
323

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