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Vector Algebra question

2021 · 20 Jul · Shift 2 · Q61

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JEE Main
Physics
Vector Algebra
2021 · 20 Jul · Shift 2 · Q61

Vector Algebra question

2021 · 20 Jul · Shift 2 · Q61

JEE MainPhysicsVector AlgebraMCQ+4 / −1

Two vectors

{\overrightarrow P }

and

{\overrightarrow Q }

have equal magnitudes. If the magnitude of

{\overrightarrow P + \overrightarrow Q }

is n times the magnitude of

{\overrightarrow P - \overrightarrow Q }

, then angle between

{\overrightarrow P }

and

{\overrightarrow Q }

is :

A
${\sin ^{ - 1}}\left( {{{n - 1} \over {n + 1}}} \right)$
B
${\cos ^{ - 1}}\left( {{{n - 1} \over {n + 1}}} \right)$
C
${\sin ^{ - 1}}\left( {{{{n^2} - 1} \over {{n^2} + 1}}} \right)$
D
${\cos ^{ - 1}}\left( {{{{n^2} - 1} \over {{n^2} + 1}}} \right)$

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