## Q. B.1

Calculate the divergence of $\mathbf{F}=x \hat{\mathbf{i}}+y \hat{\mathbf{j}}+z \hat{\mathbf{k}}$.

## Verified Solution

$\nabla \cdot \mathbf{F}=\frac{\partial}{\partial x}(x)+\frac{\partial}{\partial y}(y)+\frac{\partial}{\partial z}(z)=1+1+1=3 .$

This is the vector field shown on the left in Figure B.1. Its divergence is constant everywhere.