i'm kinda stuck with this question and dont know where to begin solving.

Work out the outward flux of the field $\displaystyle \vec{F}=xz\hat{i}-zy\hat{j}+yz\hat{k}$ across the boundary of the sphere $\displaystyle x^2+y^2+z^2=1$. Verify your result using Divergence Theorem.

Since it's the vector calculus, i posted this thread here. hope, didn't made it wrong.