I3

Suppose u, v, and w are vectors, use index notation to show (a) V . (uu) = u . Vu + u(V . u) (b) u . Vu = =V(u . u) - ux (Vxu) (c) V . [(uxv) xw]= w . [(v . Dju -(u . V)v] if divu = 0, div v = 0 and curl w = 0