The cutters can be created in any view, perpective, orthogonal, camera etc. Depending on the current mode, they can be used to split the selected geometry, add to it, subtract from it or create independent objects. Since all the cutters (with the exception of multi-object subtractions) are created in a separate layer as children of the object operated on, you can easily select those relevant to the object with PgDn, or unhide them using
unhide $.children.
