Q.The equation of the plane passing through the point (1,1,1) and containing the line $\vec{r} = (-3\hat{i} + \hat{j} + 5\hat{k}) + \lambda (3\hat{i} - \hat{j} - 5\hat{k})$ is

x + y + z = 3

x - y - z = -1

x + y - z = 1

x - y + z = -1

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

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Q.The equation of the plane passing through the point (1,1,1) and containing the line r⃗=(−3i^+j^+5k^)+λ(3i^−j^−5k^)\vec{r} = (-3\hat{i} + \hat{j} + 5\hat{k}) + \lambda (3\hat{i} - \hat{j} - 5\hat{k})r=(−3i^+j^​+5k^)+λ(3i^−j^​−5k^) is