Find the shortest distance between the following lines:r=2i^−5j^+k^+λ(3i^+2j^+6k^)and r=7i^−6k^+μ(i^+2j^+2k^)

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Question

Find the shortest distance between the following lines: $r = 2 \hat{i} - 5 \hat{j} + \hat{k} + λ (3 \hat{i} + 2 \hat{j} + 6 \hat{k})$ and $r = 7 \hat{i} - 6 \hat{k} + μ (\hat{i} + 2 \hat{j} + 2 \hat{k})$

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James Discussed

Find the shortest distance between the following lines:

r = 2 \hat{i} - 5 \hat{j} + \hat{k} + λ (3 \hat{i} + 2 \hat{j} + 6 \hat{k})

and

r = 7 \hat{i} - 6 \hat{k} + μ (\hat{i} + 2 \hat{j} + 2 \hat{k})

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Question Text

Find the shortest distance between the following lines:

r = 2 \hat{i} - 5 \hat{j} + \hat{k} + λ (3 \hat{i} + 2 \hat{j} + 6 \hat{k})

and

r = 7 \hat{i} - 6 \hat{k} + μ (\hat{i} + 2 \hat{j} + 2 \hat{k})