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Find the shortest distance between the lines r = 3i + 8j + 3k + λ(3i – j + k) and r = –3i – 7j + 6k + μ(– 3i + 2j + 4k).

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Find the shortest distance between the lines r = 3i + 8j + 3k + λ(3i – j + k) and r = –3i – 7j + 6k + μ(– 3i + 2j + 4k).

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Here, r1 = 3i + 8j + 3k

r2 = –3i – 7j + 6k

and u = 3i – j + k

v = –3i + 2j + 4k

Now,

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