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 :

Question

$4\left( {2\widehat i - 2\widehat j - \widehat k} \right)$

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

$4\left( {2\widehat i + 2\widehat j + \widehat k} \right)$

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

Solution

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