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Vector Algebra question

2022 · 24 Jun · Shift 1 · Q33

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JEE Main
Mathematics
Vector Algebra
2022 · 24 Jun · Shift 1 · Q33

Vector Algebra question

2022 · 24 Jun · Shift 1 · Q33

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\widehat a

,

\widehat b

be unit vectors. If

\overrightarrow c

be a vector such that the angle between

\widehat a

and

\overrightarrow c

is

{\pi \over {12}}

, and

\widehat b = \overrightarrow c + 2\left( {\overrightarrow c \times \widehat a} \right)

, then

{\left| {6\overrightarrow c } \right|^2}

is equal to :

A
$6\left( {3 - \sqrt 3 } \right)$
B
$3 + \sqrt 3$
C
$6\left( {3 + \sqrt 3 } \right)$
D
$6\left( {\sqrt 3 + 1} \right)$

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