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Stoke's Theorem triangle

  1. Dec 10, 2012 #1
    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 ∫
    [itex]_{C}[/itex] F*dr where F(x,y,z)=y2i + z - xk.

    2. Relevant equations

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

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

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

    My final answer was 4/3?
    Last edited: Dec 10, 2012
  2. jcsd
  3. Dec 10, 2012 #2


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    But gx=(-2) so -gx=2. Why are you writing <-2,-1,1>? Shouldn't it be <2,1,1>?
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