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

a

\pm \dfrac{\hat{j} + \hat{k}}{\sqrt{2}}

b

\pm \dfrac{\hat{i} + \hat{k}}{\sqrt{2}}

c

\pm \dfrac{\hat{i} + \hat{j}}{\sqrt{2}}

d

\pm \dfrac{\hat{i} - \hat{j}}{\sqrt{2}}

Correct Answer: Option A

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

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