I want to know what's the difference between "pointing downward, upward, or other directions." Is this direction related to the parameterizing r(t) or "oriented clockwise?"

5. (7 points) Let F = (2y, -2x, 0) and S be a smooth surface bounded by the unit circle in the (x, y)-plane and oriented with the downwards pointing normal. Find V X F . ds. S Solution: Let C be the unit circle in the (x, y)-plane oriented clockwise. Then by Stokes' Theorem we have V XF . as = Q F . dr. Parameterizing r(t) = (sint, cost, 0) for 0