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Vector Algebra question

2021 · 20 Jul · Shift 2 · Q41

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2021 · 20 Jul · Shift 2 · Q41

Vector Algebra question

2021 · 20 Jul · Shift 2 · Q41

JEE MainMathematicsVector AlgebraNumerical+4 / −1

For p > 0, a vector

{\overrightarrow v _2} = 2\widehat i + (p + 1)\widehat j

is obtained by rotating the vector

{\overrightarrow v _1} = \sqrt 3 p\widehat i + \widehat j

by an angle

\theta

about origin in counter clockwise direction. If

\tan \theta = {{\left( {\alpha \sqrt 3 - 2} \right)} \over {\left( {4\sqrt 3 + 3} \right)}}

, then the value of

\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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