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Work is scalar
Work W is both a scalar (F.D) and a vector (FxD), in short work is a Quaternion,

W = [0,F][0,D]= [00 -F.D, 0D + F0 + FxD] = [-F.D, FxD] .

Physics has yet to recognize that Work and Energy are Quaternions and thus define work and energy as a scalar. Nature and mathematics recognize work as as a Quaternion manifested by the reality of F.D and FxD.

Work is a scalar when the angle between F and D is a multiple of even 90 degrees and a torque when the angle is an odd multiple of 90 degrees.

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12y ago

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