equation of cone intersection

S

S. Nurbe

Hi,

How can I program this math. equation:
a1*n1 + a2*n2 + a3*n3 = cos(alpha1)
b1*n1 + b2*n2 + b3*n3 = cos(alpha2)
n1^2 + n2^2 + n3^2 = 1

The problem is, that when you solve for n1, n2 and n3 (anything else
is known) you get really huge results.
So is there maybe another way to compute this?
BTW:
These equations describe 0, 1, or 2 lines when two cones with the same
origin (cone ends) intersects. (Maybe anyone knows another way)

Thanks in advance,

S. Nurbe
 

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