I'm trying to find all the scalar equations in Maxwell's equations and I think I just need to get to grips with all the definitions.

$\displaystyle \nabla \cdot E=\frac{\rho}{\epsilon_{0}}$

$\displaystyle \nabla \cdot B=0$

$\displaystyle \nabla \times E=-\frac{\partial B}{\partial t}$

$\displaystyle \nabla \times B=\mu_{0} J + \mu_{0} \epsilon_{0} \frac{\partial E}{\partial t}$

where $\displaystyle E = (E_{1},E_{2},E_{3})$, $\displaystyle B = (B_{1},B_{2},B_{3})$ and $\displaystyle J = (J_{1},J_{2},J_{3})$

What is a scalar equation exactly? Is it an equation without vectors like ax + by +cz = 0?

Will my answer have to do with the divergence/curling operators? Or is it something to do with the partial derivatives on vectors?