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A Tutorial on Euler Angles and Quaternions
www.weizmann.ac.il2.1 Cartesian and polar coordinates A vector or a position (the tip of the vector) in a two-dimensional space can be given either in cartesian coordinates (x,y) or in polar coordinates (r,f), relative to a frame of reference: f r y x The formulas for transforming one representation to another are: x = r cosf y = r sinf r = q x2 +y2 f = tan 1 y x.