How to determine where programs are currently installed Windows 7

Open that Program Files directory, determine the program names, then use the Registry Editor (Start / Run / regedit) and check the following values:

HKEY_LOCAL_MACHINE\Sostware\Microsoft\Windows\CurrentVersion\Uninstall\<GUID or Program Name>\InstallLocation

HKEY_CURRENT_USER\Software\Microsoft\Windows\CurrentVersion\Uninstall\<GUID or Program Name>\InstallLocation

The InstallLocation string value (REG_SZ) should contain the path to the directory where a program is installed, so if any of the InstallLocation strings match with directories under F:'s Program Files, you'll have found the programs that'll break if you simply get rid of the files.