Q.The value of $\lambda$ so that the vectors $\vec{a} = \lambda \hat{i} + \hat{j} + \hat{k}$ , $\vec{b} = 2\hat{i} - \hat{j} + \hat{k}$ and $\vec{c} = \hat{i} - 2\hat{j} + 3\hat{k}$ are coplanar is

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Q.The value of λ\lambdaλ so that the vectors a⃗=λi^+j^+k^\vec{a} = \lambda \hat{i} + \hat{j} + \hat{k}a=λi^+j^​+k^, b⃗=2i^−j^+k^\vec{b} = 2\hat{i} - \hat{j} + \hat{k}b=2i^−j^​+k^ and c⃗=i^−2j^+3k^\vec{c} = \hat{i} - 2\hat{j} + 3\hat{k}c=i^−2j^​+3k^ are coplanar is