Calculate the work required to move an object from \(P=(1,1,1)\) to \(Q=(3,-4,-2)\) against the force field \(\mathbf{F}(x, y, z)=-12 r^{-4}\langle x, y, zangle\) (distance in meters, force in newtons), where \(r=\sqrt{x^{2}+y^{2}+z^{2}}\). Find a potential function for \(\mathbf{F}\).