Find the shortest distance between the two skew lines

frozen7
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Find the shortest distance between the two skew lines L(1) and L(2) with equations
r = (1, 2, 2) + s (4, 3, 2) and r = (1, 0, -3) + t (4, -6, -1)

How to do this? Help needed..
 
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Have you got any ideas on how you can approach this? Your book might have a few examples.
 
I have an idea but I am not sure it is correct or not.
Is the length equal to the length of the normal of either of the line to the point of another line?
 
The lines point in the direction(s) of what vector(s)?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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