Find the shortest distance between the following two lines:r=(1+λ)i^+(2−λ)j^+(λ+1)k^; r=(2i^−j^−k^)+ μ (2i^+j^+2k^)

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Find the shortest distance between the following two lines:{{r

Question

Find the shortest distance between the following two lines: $r = (1 + λ) \hat{i} + (2 - λ) \hat{j} + (λ + 1) \hat{k}$ ; $r = (2 \hat{i} - \hat{j} - \hat{k}) + μ (2 \hat{i} + \hat{j} + 2 \hat{k})$

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Find the shortest distance between the following two lines:

r = (1 + λ) \hat{i} + (2 - λ) \hat{j} + (λ + 1) \hat{k}

;

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 following two lines:

r = (1 + λ) \hat{i} + (2 - λ) \hat{j} + (λ + 1) \hat{k}

;

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