In a region, the potential is represented by V ( x, y, z )=6 x -8 xy -8 y +6 yz, where V is in volts and x, y, z are in meters. The electric force…

In a region, the potential is represented by $\displaystyle \mathrm{V}(\mathrm{x}, \mathrm{y}, \mathrm{z})=6 \mathrm{x}-8 \mathrm{xy}-8 \mathrm{y}+6 \mathrm{yz}$, where V is in volts and x, y, z are in meters. The electric force experienced by a charge of $\displaystyle 2$ coulomb situated at point ($\displaystyle 1$, $\displaystyle 1$, $\displaystyle 1$) is :