(a) Suppose that F Pi + Qj + Rk and G Si + Tj + Uk. Prove the following, by using the definition of div and curl: 2 M112811 Mathematics 11 (i) div(F + G) div F 4- div G. (ii) curl(F 4- G) curl F -4- curl G. (b) Find the value of div H and curl H, where AY 2021/22 sem 2 (yz sin x) i + (xz cos y) j + (xy cos z) k.