I was trying to study vectorial kinematics in all its fullness, without decorating formulas, only deducting all vectorially through mathematical definitions. I felt much difficulty, because it's a puzzle of many pieces and I not found a embracing explanation in any book. Someone could explain to me how the concepts of position vector, displacement vector, velocity vector, angular velocity vector, radial velocity vector, acceleration vector, angular acceleration vector and radial acceleration vector are connected geometrically and algebraically? Or, at least, could indicate me to some book that discusses these questions with clarity?
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