The electric potential in a region is represented as $V = 2x + 3y -z$ ; then the expression of electric field strength is
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$\vec{E}=-\left[\frac{\partial V}{\partial x} \hat{i}+\frac{\partial V}{\partial y} \hat{j}+\frac{\partial V}{\partial z} \hat{k}\right]$
Here, $\frac{\partial V}{\partial x}=\frac{\partial}{\partial x}(2 x+3 y-z)=2$
$\frac{\partial V}{\partial y}=\frac{\partial}{\partial y}(2 x+3 y-z)=3$
$\frac{\partial V}{\partial z}=\frac{\partial}{\partial z}(2 x+3 y-z)=-1$
$\therefore \vec{E}=-2 \hat{i}-3 \hat{j}+\hat{k}$
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