Find the shortest distance between lines r=(i^+2j^+k^)+λ(2i^+j^+2k^)andr=2i^−j^−k^+μ(2i^+j^+2k^)˙

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Find the shortest distance between lines {{r}}={({{i}}+{2}{{j}

Question

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

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Find the shortest distance between lines

r = (\hat{i} + 2 \hat{j} + \hat{k}) + λ (2 \hat{i} + \hat{j} + 2 \hat{k}) a n d 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 lines

r = (\hat{i} + 2 \hat{j} + \hat{k}) + λ (2 \hat{i} + \hat{j} + 2 \hat{k}) a n d r = 2 \hat{i} - \hat{j} - \hat{k} + μ (2 \hat{i} + \hat{j} + 2 \hat{k}) ˙