Instead of playing EVE Online for the last few days, I have been studying and working. When you take a small vacation from playing EVE...you still gotta play EVE! You can check if your characters are training any skills and the status of their skill training using EVEGate or other programs. When you're done training a skill and don't have any skills queued, log in and set that up!
Since some skill training takes 4+ days, it's very important that you don't waste a day with an empty skill queue. The other thing you'll want to check up on are your manufacturing/research jobs, and any bases you have on planets. Take a look at your market orders and adjust the prices in accordance with the general trend.
All of the above should take maybe 30 minutes to do. If you're in a player-owned corp or in null-sec, make sure to tell your corpmates that you're on an EVE vacation.