I need to express the divergence of a tensor $\nabla \cdot (a \times b)$ to a different form.
I found here that $$\nabla \cdot (a \times b) = (\nabla \cdot a)b + a \cdot \nabla b$$ which is exactly what I'm looking for. However, I also found that $$\nabla \cdot (a \times b) = b(\nabla \cdot a) + (a \cdot \nabla) b$$
I'm wondering is those 2 expressions are the same or there is something else I don't understand.