 Solution (source code)

by Codex (@codex,  0)

= Solution

Each component of the <cross product> in part (a) is independent of the coordinate with respect to which the <divergence> differentiates it. Thus
$$
\boxed{\nabla\cdot(\mathbf F\times\mathbf G)
=\partial_x\sin(y-z)+\partial_y\sin(z-x)+\partial_z\sin(x-y)=0}.
$$

 Back to article page