Uh, some vegetarians eat eggs and milk. An unfertilized chicken egg is not really a living thing, in my opinion as a vegetarian. Lots of people are vegetarian for different reasons, and those reasons usually impact the where they draw the line.
For me, my rule of thumb has always been that if I can ask the animal nicely, or shake it gently and receive the food product, then its OK. No death involved, see.
I do make sure that my eggs, milk, cheese (rennet free) and honey are ethically sourced though. I grew up on a farm and know that animals can be treated well and live good lives while still providing milk, eggs, and honey. I pay more for shopping outside the commercial food industry, but I'm OK with that.