You can surely blog about all those topics on one domain if you want to. But if you want to generate search traffic and get targeted visitors and IF you are new to
SEO and Internet marketing, you'd have an easier time focusing all your effort on one niche on one domain and not mixing them. Except art and Photography go together OK I think and there is some crossover.
One of the things search engines look for is relevancy so if the domain is 123art.com and all the content is about art and all the inbound links have art in the anchor text, you can conceivably get ranked higher for art if you have good
SEO and backlinks and everything.
Also when you market all your effort is on art. You find art blogs, forums and social groups to network on and get traffic from. And when those people interested in art visit your site they find a site totally focused on what they are interested in... art.
So I would not try to do 3 blogs. I would only focus on one (but art and photography could probably be combined).
However you realize I'm sure that each of those topics is EXTREMELY competitive, right? You should find a sub-niche to start with.
Hope this helps and best of luck!