(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose thatfis a vector field such that curlf=(1,2,5) at every point in R^3. Find an equation of a plane through the origin with the property that [tex]\oint_{C}[/tex]fdot dX= 0 for any closed curve C lying in the plane.

2. Relevant equations

http://img187.imageshack.us/img187/291/1fdf437d8e18a23191b63dfnj8.png [Broken]

3. The attempt at a solution

With Stokes' theorem and a bit of algebra I get: [tex]\int\int[/tex] ( 1,2,5) dot [tex]\nabla[/tex]g dy dx) = 0 . So, 1*dx+2*dy+3*dz=0; let dx=1; let dy=1; dz=-1. The resulting plane is x+y-z=0. Is this right?

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# Homework Help: Force Fields and Curl

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