Let a = 3i + 2j + 2k and b = i + 2j - 2k be two vectors. If a vector perpendicular to both of the vectors a + b and a - b has the magnitude 12, then one such vector is

Let a = 3i + 2j + 2k and b = i + 2j - 2k be two vectors. If… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 12 April · Shift II

Let

\mathbf{a} = 3\hat{i} + 2\hat{j} + 2\hat{k}

and

\mathbf{b} = \hat{i} + 2\hat{j} - 2\hat{k}

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

\mathbf{a} + \mathbf{b}

and

\mathbf{a} - \mathbf{b}

has the magnitude 12, then one such vector is

Show answer

Correct option: B

[JEE Main 2019 · 12 April · Shift II]

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