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Vector Algebra question

2021 · 27 Jul · Shift 1 · Q24

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2021 · 27 Jul · Shift 1 · Q24

Vector Algebra question

2021 · 27 Jul · Shift 1 · Q24

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a = \widehat i + \widehat j + 2\widehat k

and

\overrightarrow b = - \widehat i + 2\widehat j + 3\widehat k

. Then the vector product

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

is equal to :

A
$5(34\widehat i - 5\widehat j + 3\widehat k)$
B
$7(34\widehat i - 5\widehat j + 3\widehat k)$
C
$7(30\widehat i - 5\widehat j + 7\widehat k)$
D
$5(30\widehat i - 5\widehat j + 7\widehat k)$

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