Is it possible to use iOS7's AirDrop with the Mac AirDrop?
Solution 1:
Not Yet, I have tested it and TechHive confirms. Though Mavericks may bring this functionality (complete speculation obviously).
Solution 2:
With iOS 8 and OS X 10.10 Yosemite, you can share files over AirDrop between Mac and iOS.
Image source: http://techcrunch.com/2014/06/02/finally-airdrop-works-between-ios-and-mac/