Thread: Vector geometry: Work done

A constant force moves an object along a straight line from point (7, -4, 6) to point (-6, -2, 8). Find the work done if the distance is measured in meters and the magnitude of the force is measured in newtons.

Originally Posted by wvlilgurl

A constant force moves an object along a straight line from point (7, -4, 6) to point (-6, -2, 8). Find the work done if the distance is measured in meters and the magnitude of the force is measured in newtons.

Let be the vector from (7,-4,6) to (-6,-2,8), that is,

Now the work is given by



of course, here means dot product