JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

Let $a = 3 \hat{i} + 2 \hat{j} + 2 \hat{k}$ and = $b = \hat{i} + 2 \hat{j} - 2 \hat{k}$ be two vectors. If a vector perpendicular to both the vectors $a + b$ and $a - b$ has the magnitude 12 then one such vector is :

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

Solution

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