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JEE Main 2022Medium

Q.The unit vector perpendicular to both a⃗=i^+j^+k^\vec{a} = \hat{i} + \hat{j} + \hat{k} and b⃗=i^+j^\vec{b} = \hat{i} + \hat{j} is

a
±(i^+j^−2k^)/6\pm (\hat{i} + \hat{j} - 2\hat{k})/\sqrt{6}
b
±(k^)/1\pm (\hat{k})/\sqrt{1}
c
±(i^−j^)/2\pm (\hat{i} - \hat{j})/\sqrt{2}
d
±(i^+j^+k^)/3\pm (\hat{i} + \hat{j} + \hat{k})/\sqrt{3}

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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