b) Given a vector field F(x, y, z) = (ze# + 3yx?) i+ (sinha + tan 2y) j+ (x Inz - - 2zy k. I Find the following (i) divF. (2 marks) (ii) curlF. (3 marks) (iii) V . (V x F). (2 marks) c) Given the scalar field o(x, y, z) = (x + 2y + z)? - (x -y - z)2. Find (i) grado. (2 marks) (ii) The directional derivative of o at (2, 1, -1) in the direction v = 3i - 2j + k. (3 marks) (iii) At the point (1, 1, 2) what is the minimum directional derivative of o and the corresponding direction