Q.The vectors $\vec{a} = \hat{i} - \hat{j}$ , $\vec{b} = \hat{i} + \hat{j} + \hat{k}$ and $\vec{c} = \lambda \hat{i} + \hat{j} + (\lambda + 1)\hat{k}$ are coplanar if

\lambda = 0

\lambda = 1

\lambda = -1

\lambda = 2

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

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Q.The vectors a⃗=i^−j^\vec{a} = \hat{i} - \hat{j}a=i^−j^​, b⃗=i^+j^+k^\vec{b} = \hat{i} + \hat{j} + \hat{k}b=i^+j^​+k^ and c⃗=λi^+j^+(λ+1)k^\vec{c} = \lambda \hat{i} + \hat{j} + (\lambda + 1)\hat{k}c=λi^+j^​+(λ+1)k^ are coplanar if