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An insect is crawling along the line ve...

An insect is crawling along the line `vec(r ) = 6 hat(i) + 2hat(j) + 2hat(k) + lambda(hat(i) - 2hat(i) + 2hat(k))` and another insect is crawling along the line `vec(r ) = - 4hat(i) - hat(k) + mu (3 hat(i) - 2hat(j) - 2hat(k))`. At what points on the lines should they reach so that the distance between them is the shortest? Find the shortest possible distance between them.

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