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Find the shortest distance between the following lines: `vec(r) = 3hat(i)+5hat(j) +7hat(k) + lamda (hat(i)-2 hat(j)+ hat(k)) and
vec(r) = (-hat(i) - hat(j)- hat(k)) + mu (7hat(i)- 6hat(j)+ hat(k))`

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Find the shortest distance between the following lines: vec r=2hat i-5hat j+hat k+lambda(3hat i+2hat j+6hat k) and vec r=7hat i-6hat k+mu(hat i+2hat j+2hat k)