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Vector Algebra question

2023 · 10 Apr · Shift 2 · Q29

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JEE Main
Mathematics
Vector Algebra
2023 · 10 Apr · Shift 2 · Q29

Vector Algebra question

2023 · 10 Apr · Shift 2 · Q29

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\vec{a}=2 \hat{i}+7 \hat{j}-\hat{k}, \vec{b}=3 \hat{i}+5 \hat{k}

and

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

. Let

\vec{d}

be a vector which is perpendicular to both

\vec{a}

and

\vec{b}

, and

\vec{c} \cdot \vec{d}=12

. Then

(-\hat{i}+\hat{j}-\hat{k}) \cdot(\vec{c} \times \vec{d})

is equal to :

A
24
B
42
C
44
D
48

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