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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) $4(-2\hat{i} - 2\hat{j} + \hat{k})$

Show Answer

Answer: (2)


Learning Progress: Step 36 of 47 in this series