Find the shortest distance between the linesr=(i^+2j^+k^)+λ(i^−j^+k^)and r=(2i^−j^−k^)+μ(2i^+j^+2k^)

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Question

Find the shortest distance between the lines $r = (\hat{i} + 2 \hat{j} + \hat{k}) + λ (\hat{i} - \hat{j} + \hat{k})$ and $r = (2 \hat{i} - \hat{j} - \hat{k}) + μ (2 \hat{i} + \hat{j} + 2 \hat{k})$

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Find the shortest distance between the lines

r = (\hat{i} + 2 \hat{j} + \hat{k}) + λ (\hat{i} - \hat{j} + \hat{k})

and

r = (2 \hat{i} - \hat{j} - \hat{k}) + μ (2 \hat{i} + \hat{j} + 2 \hat{k})

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Question Text

Find the shortest distance between the lines

r = (\hat{i} + 2 \hat{j} + \hat{k}) + λ (\hat{i} - \hat{j} + \hat{k})

and

r = (2 \hat{i} - \hat{j} - \hat{k}) + μ (2 \hat{i} + \hat{j} + 2 \hat{k})