Q.The vector $\vec{a} = 2\hat{i} + \hat{j} - \hat{k}$ , $\vec{b} = \hat{i} - 2\hat{j} + \hat{k}$ and $\vec{c} = -\hat{i} + \hat{j} - 2\hat{k}$ are coplanar if

they are parallel

scalar triple product zero

any two are perpendicular

none

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

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Q.The vector a⃗=2i^+j^−k^\vec{a} = 2\hat{i} + \hat{j} - \hat{k}a=2i^+j^​−k^, b⃗=i^−2j^+k^\vec{b} = \hat{i} - 2\hat{j} + \hat{k}b=i^−2j^​+k^ and c⃗=−i^+j^−2k^\vec{c} = -\hat{i} + \hat{j} - 2\hat{k}c=−i^+j^​−2k^ are coplanar if