Solution
= Solution
On the same <sphere>, the normal component is $(-y,x,0)\cdot(x,y,z)=-xy+xy=0$. This <vector field> is tangent to the <sphere> everywhere. Therefore its outward <flux> is
$$
\boxed{0}.
$$
= Solution
On the same <sphere>, the normal component is $(-y,x,0)\cdot(x,y,z)=-xy+xy=0$. This <vector field> is tangent to the <sphere> everywhere. Therefore its outward <flux> is
$$
\boxed{0}.
$$