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Vector Algebra question

2024 · 31 Jan · Shift 1 · Q53

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JEE Main
Mathematics
Vector Algebra
2024 · 31 Jan · Shift 1 · Q53

Vector Algebra question

2024 · 31 Jan · Shift 1 · Q53

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\vec{a}

and

\vec{b}

be two vectors such that

|\vec{a}|=1,|\vec{b}|=4

, and

\vec{a} \cdot \vec{b}=2

. If

\vec{c}=(2 \vec{a} \times \vec{b})-3 \vec{b}

and the angle between

\vec{b}

and

\vec{c}

is

\alpha

, then

192 \sin ^2 \alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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