\vec{F}\left(x,y\right)=P\left(x,y\right)\hat{i}+Q\left(x,y\right)\hat{j}
y
x
\left(x,y\right)=
(
0
,
0
)
\left(x,y\right)=\left(0,0\right)
P\left(x,y\right)\hat{i}=0
Q\left(x,y\right)\hat{j}=0
\sqrt{P^2+Q^2}=0
0
\nabla\times\vec{F}=\frac{\partial Q}{\partial x}-\frac{\partial
P}{\partial y}=0
0
\nabla\cdot\vec{F}=\frac{\partial P}{\partial x}+\frac{\partial
Q}{\partial y}=0