1. The problem statement, all variables and given/known data Please help me to solve this assignment. a) A vector field is given by v(x,y,z) = (y, x, z-x). Calculate the flux from this field out of the unit cube, given by x,y,z = [0,1]. b) Use Gauss's theorem to calculate the same flux. Check that you get the same result. 2. Relevant equations Electric Flux: Φ = E. A .cosθ Electric Flux: Φ = ∫ E. dA = Qencl / ε 3. The attempt at a solution For part a) one can calculate ∫∫ v . n dxdy, where n is the unit normalvector for the surface A, for each cube faces and add them together.