
Re: Distance Between Lines in R^3 (fwd)
Posted:
Jul 29, 2013 5:15 PM


On Thursday, July 25, 2013 8:33:51 PM UTC7, William Elliot wrote: > How do we find the shortest distance between two lines L, L' in R^3 ? > > > Expressing the two lines, L1 and L2, in parametric form where r,a,b,c,d are vectors, and s,t are scalar parameters,
(L1) r = a + bs, (L2) r = c + dt,
then the distance between the two lines is given by
g = (ac)·(b×d) / b×d
Found at:
http://2000clicks.com/MathHelp/GeometryPointsAndLines3D.aspx
There nice explanation of why and how this works.

