Q.The unit vector in the direction of $\vec{a} \times \vec{b}$ where $\vec{a} = 2\hat{i} + 2\hat{j} - \hat{k}$ , $\vec{b} = \hat{i} + 2\hat{j} + 2\hat{k}$ is

\pm (\hat{i} - \hat{j} + \hat{k})/\sqrt{3}

\pm (\hat{i} + \hat{j} - \hat{k})/\sqrt{3}

\pm (\hat{i} + \hat{j} + \hat{k})/\sqrt{3}

\pm ( -\hat{i} + \hat{j} + \hat{k})/\sqrt{3}

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

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Q.The unit vector in the direction of a⃗×b⃗\vec{a} \times \vec{b}a×b where a⃗=2i^+2j^−k^\vec{a} = 2\hat{i} + 2\hat{j} - \hat{k}a=2i^+2j^​−k^, b⃗=i^+2j^+2k^\vec{b} = \hat{i} + 2\hat{j} + 2\hat{k}b=i^+2j^​+2k^ is