Let F = 〈 z , 0 , βˆ’ y βŒͺ and let S be the surface parameterized byr ( u , v ) = 〈 u 2 βˆ’ v , u , v 2 βŒͺ , 0 ≀ u ≀ 4 , 0 ≀ v ≀ 2 ,oriented upward.1. Find the normal vector < ______, _______, _______ >2. Set up flux integral and find the integrand f(u,v)Flux =∬ S F β‹… d S = ∫ 0 4 ∫ 0 2 f ( u , v ) d v d uf(u,v) = (enter a, b, c, d, or e)a βˆ’ u 3 + v b βˆ’ 2 u 3 + v c βˆ’ u + v 3 d βˆ’ u + 2 v 3 e βˆ’ u + v3. Calculate the flux of F across the surface S.Flux = (enter an integer)