The formula of divergence for the product of two vectors? ▽· (AB) =? Where AB is a vector. What is the expansion formula of this formula?

The formula of divergence for the product of two vectors? ▽· (AB) =? Where AB is a vector. What is the expansion formula of this formula?


A. Is it a cross product or a dot product between B? If it is a dot product, at least one of AB must be a tensor of order 2~
If it's a cross product, let's say (▽. A) XB - (▽. B) Xa~