If you have ping to the gateway in doesn't mean that a remote host has connection.
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Network Virtual Terminal, is a software version of a physical terminal and allows a user to log on to a remote host .So the application created emulation of terminal at the remote host .Users computer talks to the software terminal which in turn talks to the host & vice verse .Remote host believes it is communication with one of its own terminals and allow you to log on
ping
RDP remote desktop protocal.
Through vpn
Ping
You don't. Use telnet, rlogin or ssh.
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Transmission Control Protocol (TCP) establishes a connection with the remote host before sending data.
Host-to-site VPN