Homework Statement
This problem is in Introduction to Eletrodynamics, of Griffiths, 3rd edition, p.20, problem 1.19. He asks a vector function v(x,y,z), other than the constant, that has:
\nabla\cdot\vec{v}=0 \mbox{ and } \nabla\times\vec{v}=0
Homework Equations
I hope you know them...