(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

x1 = (0,0,4) + s(2,0,-1)

x2 = (-4,2,2) + t(-5,1,1)

2. Relevant equations

3. The attempt at a solution

First of all I find the common perpendicular (vector cross product)

Make it unit

Find a arbitrary line joining the two 2 lines (set s = t= 0)

Then scalar produce the unit normal and the line between the vectors to get the minimum distance. I get 2/sqrt(14), while the answers say just sqrt(14). How so?

Also I am just doing the method, but what does it mean geometrically. Why find a line perpendicular, or use a unit vector?

Thanks

Thomas

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# Shortest Distance between 2 skew lines (vectors)

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