1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    But gx=(-2) so -gx=2. Why are you writing <-2,-1,1>? Shouldn't it be <2,1,1>?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Stoke's Theorem triangle
  1. Stokes Theorem (Replies: 2)

  2. Stokes Theorem (Replies: 6)

Loading...