Why are the pros and cons of both, when my needs are: Showing fairly good resolution powerpoint, video and maybe live notes on a rather big screen. And when needs is, that it must be stable and work in very different environments and setups. What shows what, airplay vs. Hdmi adapter. If you want to answer as generic as possible, it would be helpful for more than me. I have the new iPad, generation 3, iPad 3. Thank you very kindly.