define a vector field on the complement of the z-axis by

F(x,y,z)=(-y i + x j) / (x^2+y^2)

A) Show direct calculation of <Integral> (over c) Fdx

for any horozontal circle centered at a point on z axis.

B) Why does this not contradict Stokes?

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- Nov 24th 2009, 04:26 PMstumped765stokes thm
define a vector field on the complement of the z-axis by

F(x,y,z)=(-y i + x j) / (x^2+y^2)

A) Show direct calculation of <Integral> (over c) Fdx

for any horozontal circle centered at a point on z axis.

B) Why does this not contradict Stokes?