Hi I am still a bit confused in determining the correct direction for a normal vector to a surface.
In the given example, I am ment to calculate the flux using stokes theorem with the open surface being a paraboloid: z= x^2 + y^2 bounded by plane z=4 and vector field F = (3y,-xz,yz)
My tutor said something about the normal vector always having to point outwards from the surface. Does this mean (using the right hand rule) that i have to travel in the clockwise direction around path c (the boundary between paraboloid and plane) so that my normal vector points outwards? it does not state orientation or direction of normal in the question. I have also seen that people use the convention that the surface is always on your left, but that would mean an inwards pointing vector.
so this is why iam confused.
can anyone enlighten me?