JEE PYQ: Vector Algebra Question 36
Question 36 - 2019 (12 Apr Shift 1)
Let $\vec{a} = 3\hat{i} + 2\hat{j} + 2\hat{k}$ and $\vec{b} = \hat{i} + 2\hat{j} - 2\hat{k}$ be two vectors. If a vector perpendicular to both the vectors $\vec{a} + \vec{b}$ and $\vec{a} - \vec{b}$ has the magnitude 12, then one such vector is:
(1) $4(2\hat{i} + 2\hat{j} + \hat{k})$
(2) $4(2\hat{i} - 2\hat{j} - \hat{k})$
(3) $4(2\hat{i} + 2\hat{j} - \hat{k})$
(4) $4(-2\hat{i} - 2\hat{j} + \hat{k})$