I thought they were the same. Turns out, vegans are stricter than vegetarians and don’t eat dairy or cheese as well as no animal foods. This is an interesting article from the NY Times. This link details the differences.

https://www.healthline.com/nutrition/vegan-vs-vegetarian

Here is the article:

https://getpocket.com/explore/item/the-death-of-the-vegetarian?utm_source=pocket-newtab