Equation for curl of a vector F
curlF = Del_operator X F
Physical significance of curl
The curl vector represents an axis about which the particles at that location would rotate.
Equation for divergence of a vector F
divF = Del_operator dot F
Physical significance of divergence
The divergence is a measure of the amount of something that is flowing into or out of a source. (Technical definition is the measure of the quantity of flux emanating from any point in a vector field)