 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2011/paper-2/10/solution

In Cartesian coordinates, the divergence uses the matching coordinate for each component:

\nabla \cdot F = \partial_{x} y + \partial_{y} z + \partial_{z} x = 0 .

Each of these three partial derivatives vanishes.

 New to topics? Read the docs here!