fx,fy=-y,x(adsbygoogle = window.adsbygoogle || []).push({});

curl(fx,fy)=2

its counterclockwise so the gradient is pointing ccw.

the gradient is the direction of max increase, so

then the surface z=f[x,y] whose gradient is -y,x is a spiral/screw whose z position goes up forever as x and y are traced out counterclockwise

so, a nonconservative field IS a gradient of a surface.

why was i lied to?

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# Nonconservative gradients (not an oxymoron)

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