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Vector Algebra question

2025 · 3 Apr · Shift 2 · Q49

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JEE Main
Mathematics
Vector Algebra
2025 · 3 Apr · Shift 2 · Q49

Vector Algebra question

2025 · 3 Apr · Shift 2 · Q49

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

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

and

\vec{d}

be a vector such that

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

and

\vec{a} \cdot \vec{d}=4

. Then

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

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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