Curl and Div equal to zero -

Question

What does it mean When $Curl \ F = 0$ or $Div\ F = 0$ ?

F is a vector field

I am new in vector calculus;

Answer 1

Curl measures how much the field is rotating. If you enclose a region with (defined) curl of 0 everywhere, the line integral around that curve will be zero (Greens' Thm.)

Divergence measures how much the field is expanding. If you enclose a region with a (defined) divergence of 0 everywhere, the flux integral around the curve will be zero (normal form of Greens' Thm).

Answer 2

I like this set of videos covering grad, div, and curl. Just scroll down a little bit and you will see individual links to the three videos, one for each concept.