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This tag is for the classical concept of forces, i.e. the quantities causing an acceleration of a body. It expands to the strong/electroweak force only insofar as they act comparable to ‘classical’ forces. Use the [particle-physics] tag for decay channels due to forces and [newtonian-mechanics] or one of the other subtopics of [classical-mechanics] for the dynamics of classical systems.
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Is $W = \vec{F}\cdot\vec{D}$ actually a dot product or just calculated that way?
It being a dot product is alright, because a dot product is meant to handle different values.
Otherwise, you'd be adding or subtracting vectors. It is during addition or subtraction that vectors shoul …