# Thread: Vector geometry: Work done

1. ## 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.

2. 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 $\bold{D}$ be the vector from (7,-4,6) to (-6,-2,8), that is, $\bold{D} = \left< -13, 2, 2 \right>$

Now the work is given by

$W = \bold{F} \cdot \bold{D}$

of course, $\cdot$ here means dot product