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For the math real men:
Suppose a bone, experiencing 3 directional forces, in return the dog on the left goes at 20 newtons, at right goes 40 newtons, at top 20 newtons
(-20,0)
(0,20)
(40,0)
r=20,20
Do you know what the degrees it is? How much Newtons it is?
You want a force vector, yes? That'll be 45 degrees, sqr(800) Newtons. About 28 Newtons.
Using euler transformation
x+yi=sqr(x^2+y^2)e^atn(x/y)i
phi=atn(x/y)
arcus tangens on calculators and in vb screws up on y=0 and can't handle the two other quadrants, in C++ you can use atan2