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Vector Algebra question

2019 · 12 Apr · Shift 1 · Q37

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2019 · 12 Apr · Shift 1 · Q37

Vector Algebra question

2019 · 12 Apr · Shift 1 · Q37

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a = 3\widehat i + 2\widehat j + 2\widehat k

and

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

be two vectors. If a vector perpendicular to both the vectors

\overrightarrow a + \overrightarrow b

and

\overrightarrow a - \overrightarrow b

has the magnitude 12 then one such vector is :

A
$4\left( {2\widehat i - 2\widehat j - \widehat k} \right)$
B
$4\left( { - 2\widehat i - 2\widehat j + \widehat k} \right)$
C
$4\left( {2\widehat i + 2\widehat j + \widehat k} \right)$
D
$4\left( {2\widehat i + 2\widehat j - \widehat k} \right)$

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