In 2-space
Let 2 vectors U,V with θ angle between U and V
Tan(θ/2) = sin θ/ (1+cos θ)
In 3-space
Let 3 vectors U,V,W with a, b, c respectively the angles between U,V and W
Tan(Ω/2)=sqrt(1-cos2a –cos2b – cos2c +2 cos a cos b cos c)/(1 + cos a + cos b + cos c)
From Oosterm and Strackee
What is the measure of the solid angle if we have 4 vectors U,V, W, T with b, a, c, d , e, f respectively the angles between the 4 vectors?
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