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Vector Algebra question

2021 · 25 Jul · Shift 2 · Q63

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JEE Main
Physics
Vector Algebra
2021 · 25 Jul · Shift 2 · Q63

Vector Algebra question

2021 · 25 Jul · Shift 2 · Q63

JEE MainPhysicsVector AlgebraMCQ+4 / −1

Two vectors

\overrightarrow X

and

\overrightarrow Y

have equal magnitude. The magnitude of (

\overrightarrow X -\overrightarrow Y

) is n times the magnitude of (

\overrightarrow X

+

\overrightarrow Y

). The angle between

\overrightarrow X

and

\overrightarrow Y

is :

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

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