Which of the following expressions are meaningful (where \(\mathbf{F}\) is a vector field and \(f\) is a function)? Of those that are meaningful, which are automatically zero?
(a) \(\operatorname{div}(abla f)\)
(b) \(\operatorname{curl}(abla f)\)
(c) \(abla \operatorname{curl}(f)\)
(d) \(\operatorname{div}(\operatorname{curl}(\mathbf{F}))\)
(e) \(\operatorname{curl}(\operatorname{div}(\mathbf{F}))\)
(f) \(abla(\operatorname{div}(\mathbf{F}))\)