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

\sqrt{2}/3

1/\sqrt{3}

2/\sqrt{3}

\sqrt{3}/2

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^+j^+k^)\vec{r} = \hat{i} + \hat{j} + \lambda (\hat{i} + \hat{j} + \hat{k})r=i^+j^​+λ(i^+j^​+k^) and r⃗=i^−j^+μ(−i^+j^−k^)\vec{r} = \hat{i} - \hat{j} + \mu (-\hat{i} + \hat{j} - \hat{k})r=i^−j^​+μ(−i^+j^​−k^) is