Really.  Well, why not simply generate random number pairs in 3space?
Assume a box enclosing your given space and then generate a point within that
volume and a vector associated with the point.  This will give you a pretty
uniform scattering of said random lines.

Cheers!

Chip Shults
My robotics, space and CGI web page - http://home.cfl.rr.com/aichip

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