1. The problem statement, all variables and given/known data A vector field is given by: A=2x(x hat) + 3(y hat) + 2y(z hat). A surface S is defined by 0<=x<=2m, y=5m, 0<=z<=2m. Find the flux of A through S. I plug the 5m into the z hat term to get 10(z hat) and then integrate. Integrating the (x hat) term I get 4. The y hat term comes out because it is constant. Integrating the z hat term to get 20. Sum those up and I get 27. The actual answer is 12. Can anybody tell me what is wrong?