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Vector Algebra question

2022 · 27 Jun · Shift 2 · Q32

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JEE Main
Mathematics
Vector Algebra
2022 · 27 Jun · Shift 2 · Q32

Vector Algebra question

2022 · 27 Jun · Shift 2 · Q32

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a

and

\overrightarrow b

be the vectors along the diagonals of a parallelogram having area

2\sqrt 2

. Let the angle between

\overrightarrow a

and

\overrightarrow b

be acute,

|\overrightarrow a | = 1

, and

|\overrightarrow a \,.\,\overrightarrow b | = |\overrightarrow a \times \overrightarrow b |

. If

\overrightarrow c = 2\sqrt 2 \left( {\overrightarrow a \times \overrightarrow b } \right) - 2\overrightarrow b

, then an angle between

\overrightarrow b

and

\overrightarrow c

is :

A
${\pi \over 4}$
B
$-{\pi \over 4}$
C
${{5\pi } \over 6}$
D
${{3\pi } \over 4}$

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