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Vector Algebra question

2021 · 18 Mar · Shift 2 · Q27

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2021 · 18 Mar · Shift 2 · Q27

Vector Algebra question

2021 · 18 Mar · Shift 2 · Q27

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a

and

\overrightarrow b

be two non-zero vectors perpendicular to each other and

|\overrightarrow a | = |\overrightarrow b |

. If

|\overrightarrow a \times \overrightarrow b | = |\overrightarrow a |

, then the angle between the vectors

\left( {\overrightarrow a + \overrightarrow b + \left( {\overrightarrow a \times \overrightarrow b } \right)} \right)

and

{\overrightarrow a }

is equal to :

A
${\sin ^{ - 1}}\left( {{1 \over {\sqrt 6 }}} \right)$
B
${\cos ^{ - 1}}\left( {{1 \over {\sqrt 2 }}} \right)$
C
${\sin ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)$
D
${\cos ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)$

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