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Vector Algebra question

2022 · 29 Jul · Shift 2 · Q42

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2022 · 29 Jul · Shift 2 · Q42

Vector Algebra question

2022 · 29 Jul · Shift 2 · Q42

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\vec{a}

and

\vec{b}

be two vectors such that

|\vec{a}+\vec{b}|^{2}=|\vec{a}|^{2}+2|\vec{b}|^{2}, \vec{a} \cdot \vec{b}=3

and

|\vec{a} \times \vec{b}|^{2}=75

. Then

|\vec{a}|^{2}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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