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Topic: Distance Between Lines in R^3 (fwd)
Replies: 15   Last Post: Sep 13, 2013 1:25 PM

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Bart Goddard

Posts: 1,561
Registered: 12/6/04
Re: Distance Between Lines in R^3 (fwd)
Posted: Jul 26, 2013 10:26 AM
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William Elliot <marsh@panix.com> wrote in
news:Pine.NEB.4.64.1307252033010.24715@panix3.panix.com:

> How do we find the shortest distance between two lines L, L' in R^3

Each line has a direction vector. The cross product n of the two
direction vectors is perpendicular to both lines. Pick a point
on each line, P and Q. The projection of the vector from P to Q
onto the vector n is the distance.



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