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simple problem

Mark gatfix at hotmail.com
Wed May 17 08:03:37 EST 2000

Given the cartesian coordinates of
two points a and b in 3D space, I need the position
of a third point c such that the angle c-a-b has a fixed
value, say 104.5 degrees.

            a - b

how can I obtain the coordinates (x,y,z) of c from the
known coordinates of a and b?
Clearly there are many equivalent choices of c satisfying
this requirement; what I'm looking for is simply the direction of some
a-c axis which form the required angle with the a-b axis.

is it a trivial problem? I haven't found a solution...
any help appreciated

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