Q.If $\vec{a} = \hat{i} + \hat{j} + \hat{k}$ and $\vec{b} = \hat{j} - \hat{k}$ , then the vector $\vec{c}$ perpendicular to $\vec{a}$ and coplanar with $\vec{a}$ and $\vec{b}$ is

\hat{i} - \hat{j} + \hat{k}

\hat{i} + \hat{j} - \hat{k}

-\hat{i} + \hat{j} - \hat{k}

\hat{i} + \hat{j} + \hat{k}

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

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Q.If a⃗=i^+j^+k^\vec{a} = \hat{i} + \hat{j} + \hat{k}a=i^+j^​+k^ and b⃗=j^−k^\vec{b} = \hat{j} - \hat{k}b=j^​−k^, then the vector c⃗\vec{c}c perpendicular to a⃗\vec{a}a and coplanar with a⃗\vec{a}a and b⃗\vec{b}b is