I know the orbit of the SO(2) group should be a circle and that the orbit of the SO(3) group should be a sphere but how do i calculate them? .. or am i completely mixed up?
I know the orbit of the SO(2) group should be a circle and that the orbit of the SO(3) group should be a sphere but how do i calculate them?
Given a 2-vector a, the orbit of SO(2) acing on a is simply the circle about the origin with radius r = |a|. Similarly the orbit of SO(3) acting on a 3-vector b is the sphere with radius r = |b|.