- #1
okkvlt
- 53
- 0
fx,fy=-y,x
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?
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?