Q.The shortest distance between the skew lines $\vec{r} = \hat{i} + \hat{j} + \lambda (\hat{i} + 2\hat{j} - \hat{k})$ and $\vec{r} = \hat{j} - \hat{k} + \mu (2\hat{i} + \hat{j} + \hat{k})$ is

1/\sqrt{6}

1/3

1/\sqrt{3}

2/\sqrt{3}

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

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Q.The shortest distance between the skew lines r⃗=i^+j^+λ(i^+2j^−k^)\vec{r} = \hat{i} + \hat{j} + \lambda (\hat{i} + 2\hat{j} - \hat{k})r=i^+j^​+λ(i^+2j^​−k^) and r⃗=j^−k^+μ(2i^+j^+k^)\vec{r} = \hat{j} - \hat{k} + \mu (2\hat{i} + \hat{j} + \hat{k})r=j^​−k^+μ(2i^+j^​+k^) is