How do I fit a line through three points in space?

From: Red B. (redb_at_mail2pilot.com)
Date: 09/17/04 

Date: 17 Sep 2004 02:03:02 -0700

Hi all!

How do I go about fitting a straight line (vector) through three
points in space? Each of the three points is given by three
coordinates (x,y,z) that are measured with some uncertainty.
The textbooks I have all discuss using the method of least squares for
fitting a straight line through a number of (x,y) points in a plane
but I need a method that works in three dimensions.

Although this is probably a trivial problem for you mathematicians I
would appreciate any help you can offer.

/Red B.

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