Question: 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

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 $\mathbf{F}$.

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