Answer
0
Work Step by Step
curl $\textbf{F}=\nabla\times\textbf{F}=\nabla\times\langle x,y,z\rangle$
$=(\frac{\partial (z)}{\partial y}-\frac{\partial (y)}{\partial z})\textbf{i}+(\frac{\partial(x)}{\partial z}-\frac{\partial(z)}{\partial x})\textbf{j}+(\frac{\partial(y)}{\partial x}-\frac{\partial(x)}{\partial y})\textbf{k}$
$=(0-0)\textbf{i}+(0-0)\textbf{j}+(0-0)\textbf{k}$
$=0$