graeme_p - 5:59 pm on Oct 8, 2013 (gmt 0)
No idea about video editing. I suspect its similar to graphics.
I think the answer is "it depends". What you want to do, what features you want, how comfortable you are with learning a now tool, your workflow, whether your are preparing graphics from print or screen etc.
This comparison of GIMP and Photoshop may be a useful starting point:
I get the impression that Adobe applications are better for print (better or easier to set up CMYK, for example). Try them and see - most are cross platform - although they may look better and work more reliably on Linux.