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Help With Stokes problem

  1. Aug 13, 2014 #1
    1. The problem statement, all variables and given/known data

    Find ∫CF⃗ ⋅dr⃗ where C is a circle of radius 2 in the plane x+y+z=3, centered at (2,4,−3) and oriented clockwise when viewed from the origin, if F⃗ =5yi⃗ −5xj⃗ +4(y−x)k⃗

    2. Relevant equations

    Stokes theorem.

    ∫curl F ⋅dS

    3. The attempt at a solution
    For the curl I get <4,4,-10>
    For dS I get <1,1,1> from z = 3-x-y
    Dotted together its -2
    so

    -2∫∫dA
    Area of circle is 4∏

    -8∏ is my answer but online homework system says it's not… Please help!
     
  2. jcsd
  3. Aug 13, 2014 #2

    LCKurtz

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    Gold Member

    I get the same as you did.
     
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