your supposed to?Would it damage the tiles?
No vinegar will not hurt your ceramic tile. You may want to rinse it off if you use to much vinegar.
Ceramic tile has a glaze on it which keeps the vinegar from harming the tile, however--you might have to reseal your grout if you use to much vinegar over a period of time. Vinegar can work on the grout like an acid if it isn't diluted properly. One teaspoon of vinegar to one quart of water is best.
Not at all. You just wasted some vinegar and it might take longer for the smell to go away.