# Stoke's Theorem Sphere and Plane

1. May 25, 2009

### IniquiTrance

1. The problem statement, all variables and given/known data

Find the flux of the curl of F: $$\vec{F}=<yz,xz,xy>$$

Over S defined by:

Sphere: $$x^{2}+y^{2}+z^{2}=1$$

Where $$x+y+z \geq 1$$

2. Relevant equations

3. The attempt at a solution

I know I have to use Stoke's theorem to evaluate the line integral counterclockwise around the circular path formed by the intersection of:

$$x^{2}+y^{2}+z^{2}=1$$

and

$$x+y+z = 1$$

I'm having trouble setting up this line integral. Any insights would be greatly appreciated.