Product management is an interesting position and will depend a lot on what kind of authority you possess. In certain cases you will incredible authority, while other times you have no actual power and are just an overseer over a given group of people who has to report to higher ups. Overall, project management is a people job, the people you manage and your relationship with them will determine your success. Its good to have a technical know how in PM, but if your people skills are not up to par your going to have an incredibly difficult job, especially the less formal authority you have.