(a) Consider f(x, y, z) = x + y z, g(x, y, z) = x + xyz + y, (3) Compute the gradient and the Laplacian of both f and g. Simplify each result. Show your work. (b) Define = = (9) - (0) B (4) 1. Which direction does point? 2. Which direction does B point? 3. Which direction does 4. Compute V. and V. B. point? 5. Compute V x and V . Which direction do each of these two vectors point? 6. Compute V ( B). (c) Compute the Laplacian of h(x, y, z) = 1 = Simplify the result. Does the result surprise you?