Yes.
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Force times distance is called "Work" for the purposes of physics.
Yes and no. It's the dot product, but not the cross product.
I usually start with the definition of work: Work = force * distance so... Force = work / distance Distance = work / force So, no. You had it backwards.
distance and force work=distance/ force
Work is defined as the dot product of force times distance, or W = F * d = Fd cos (theta) where theta is the angle in between the force and distance vectors (if you are doing two dimensions). In three dimensions, use the standard definition for the dot product (using the component form of the vectors).