Re: Distance point <=> straight line in space



pjb@xxxxxxxxxxxxxxxxx (Pascal J. Bourguignon) writes:

Ben Bacarisse <ben.usenet@xxxxxxxxx> writes:
If there is any reason to transform your co-ordinate system, you might
want to shift and rotate the world so that p1 and p2 are on the z-axis
(say). Then all you distances are 2D from the origin. This feels
more expensive unless there is some other payoff to changing the
co-ordinate system.

Yes, you can save computing the z coordinate which doesn't matter for
the distance to the z axis.

It seemed a close call (the wrong way) but I did not add up all the
operations like we both did for the other methods. Have you counted
it and found it cheaper?

--
Ben.
.



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