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a,dr angle bounded centre closed surface Compute the circulation Compute the flux compute the line constant vector contour coordinate origin coordinate planes coordinate surfaces coordinates qx curl curvilinear coordinates cylinder x2 cylindrical coordinates defined Definition desired flux differential equations direction dx dy dz equal Example Find the derivative Find the flux Find the gradient Find the vector following vector fields grad cp Green's formula helical curve hodograph Laplace operator level surfaces line integral magnetic field obtain osculating plane outer side parameter path of integration perpendicular point M0 potential field projected one-to-one radius vector region G scalar argument scalar field scalar function scalar product sin2 solenoidal field Solution sphere x2 spherical coordinates Stokes theorem straight line tion unit vector vector analysis vector function vector lines vector potential velocity whence z-axis