# Stoke's Theorem triangle

1. Dec 10, 2012

### aaronfue

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

Let C be the oriented triangle lying in the plane 2x+y+z=4. Evaluate ∫
$_{C}$ F*dr where F(x,y,z)=y2i + z - xk.

2. Relevant equations

I will be using ∫C∫curl F $\bullet$ $\vec{n}$ to solve this problem. But when I'm trying to find $\vec{n}$ using -gxi - gyj + k, I get

Using g(x,y)= -2x -y + 4
$\vec{n}$ = < -2, -1, 1>

Did I do that correctly? Will the k just be 1 or 4?