Left and right handed people?

Some lefties I know tend to be a little bit more creative and intuitive emotionally, whether male or female. However I do know many brilliant right-handers, but their creativity tends to be more "normal" (ie. technically gifted off the scale but following conventions designed by lefties). Maybe I'm just prejudiced about these things but if you look at statistics they seem to show more famous and sucessful lefties in proportion to right handed once population size is taken into account. Apart from writing / tool using etc., what exactly is lefthandedness? is it like their brains are opposite wired or is it they can cross the cerebral hemispheres more easily? or is it something else... like arabic and hebrew writing where you read it from right to left, is that a bit "left-handed"? Jimi Hendrix (RIP) had his guitar strung upside down and had to hold it with the left hand strumming, Well, I for one play the guitar right-handed (normal way) but I use left hand for writing, tennis snooker etc. Does that make me ambidextrous or not "truly" left handed?