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Vector Algebra question

2023 · 31 Jan · Shift 1 · Q45

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2023 · 31 Jan · Shift 1 · Q45

Vector Algebra question

2023 · 31 Jan · Shift 1 · Q45

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\vec{a}

and

\vec{b}

be two vectors such that

|\vec{a}|=\sqrt{14},|\vec{b}|=\sqrt{6}

and

|\vec{a} \times \vec{b}|=\sqrt{48}

. Then

(\vec{a} \cdot \vec{b})^{2}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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