Evaluate the surface integral: $$\iint _{ S }^{ }{ \vec { F } \cdot \vec { dS } }$$ Vector field: $$\vec { F } =$$ Surface 'S': Tetrahedon $$ (0,0,0),(3,0,0),(0,3,0),(0,0,3)$$ How do I do this? Do I need to evaluate each of the four surfaces separately and add them together?

Question

Evaluate the surface integral: 
$$\iint _{ S }^{  }{ \vec { F } \cdot \vec { dS }  }$$ Vector field: $$\vec { F } =<y,z-y,x>$$
Surface 'S': Tetrahedon $$ (0,0,0),(3,0,0),(0,3,0),(0,0,3)$$

How do I do this? Do I need to evaluate each of the four surfaces separately and add them together?

anonymous · Answer

i believe so yes. my multi-variable calculus is a little rusty, but i believe your method is correct. do you want me to show you?

primeralph · Answer

use one of the theorems..............