Let F be any vector field of the form $\mathbf{F} = f \left( x \right) \mathbf{i} + g \left( y \right) \mathbf{j} + h \left( z \right) \mathbf{k}$ and let G be any vector field of the form $\mathbf{G} = f \left( y, z \right) \mathbf{i} + g \left( x, z \right) \mathbf{j} + h \left( x, y \right) \mathbf{k}$. Indicate whether the following statements are true or false by placing "T" or "F" to the left of the statement.

1. F is irrotational
2. G is incompressible
3. F is incompressible
4. G is irrotational

Your overall score for this problem is