Final answer:
An IP address is configured on a VLAN interface for remote management of a switch. FastEthernet and GigabitEthernet are physical interfaces, and the Console is used for direct access.
Step-by-step explanation:
An administrator would configure an IP address on a VLAN interface so that the switch can be managed remotely. Although FastEthernet and GigabitEthernet refer to physical interfaces, they do not hold the IP configuration for remote management. The Console interface is used for direct physical management rather than remote access.
To configure a switch for remote management, the administrator assigns an IP address to a Virtual LAN (VLAN), typically VLAN 1, which is the default VLAN for the management purpose of the switch. This virtual interface is found within the switch's software configuration and allows for network communication with the switch over the network.