Can you connect your ps3 directly with your internet cable i dont have a modem nor router only internet cable can i still connect with that?

No. The PS3 can only have a wired connection with an ethernet cable. The only other connection that is possible is WiFi. The PS3 can only connect to the internet with WiFi or ethernet cable no other type connection is possible. You can not use the HDMI or USB port to connect the PS3 to the internet. I do not believe a router can be connected to the internet cable without a modem or that you can have cable internet without a modem