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The quantity "force x distance" is called energy. Force is in general a Quaternion consisting of a scalar force f and a vector force F ( [f,F]); likewise "distance" scalar d and vector displacement D ( [d,D]).

The quantity [f,F][d,D] =[fd -F.D, fD + Fd + FxD] is called a Quaternion energy.

fd is the scalar energy, -F.D is the parallel scalar energy, fD and fD is the vector energy and FXD is the perpendicular vector energy.

Force x distance is energy and can change the energy content.

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