Q.The vectors $\vec{a} = \hat{i} + \hat{j} + 2\hat{k}$ , $\vec{b} = 2\hat{i} - \hat{j} + \hat{k}$ and $\vec{c} = \hat{i} + 3\hat{j} + 4\hat{k}$ are coplanar if

true

false

only if magnitude zero

none

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^+2k^\vec{a} = \hat{i} + \hat{j} + 2\hat{k}a=i^+j^​+2k^, b⃗=2i^−j^+k^\vec{b} = 2\hat{i} - \hat{j} + \hat{k}b=2i^−j^​+k^ and c⃗=i^+3j^+4k^\vec{c} = \hat{i} + 3\hat{j} + 4\hat{k}c=i^+3j^​+4k^ are coplanar if