Problem 1 (14 pts) Consider a fluid flowing with velocity v = vxi + 2vyj + vzk across a triangular surface defined by 2x + 2y + 12 = 1, 0 Z (i) (ii) What is the flow velocity across the plane normal to the x axis? (4 pts) What is the flowrate of mass across the surface? Assuming the fluid density is p. (6 pts) What is the flowrate of y-momentum across the surface? (4 pts) (iii)