So what's the fundamental difference between a trip and vacation? The difference is your expectation. Trips are something that you do and it often has a purpose. On the other hand, vacations are about the experience.
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More frequent trips allow you to take regular breaks from work. Research shows that the ideal length of time for a vacation is between eight and eleven days, with eight days being the true sweet spot.
So, to sum up: a holiday is an important day for religious or other reasons, or a day when most people don't work. In British and Australian English, it's also a longer break from work such as taking time off to go on a trip somewhere. In American English, a longer break, especially if it's for travel, is a vacation.