Heya! Was just wondering how to do this question:

Got a little stuck and any help would be great :)

Tried looking around for some resources online, but couldn't find any, so here I go. . .

Given that u = (x^2 y, y^2 z , z^2 x), calculate

(a) ∇(∇ · u)

(b) ∇ × (∇ × u)

(c) ∇^2 u

Thanks!