There is a large overlap between a quality hatchet and long knife... either in the right hands would pretty much eliminate cutlery as a survival concern.-Cliff
Man, this is a classic thread! I agree with what others have said. You surely could do quite well with any of the tools mentioned on its own. I bet kukri fans would have something to add to this, too.
I currently own a fairly large tomahawk, a 9 1/2" bowie, and a 4 1/2" drop-point fixed blade. All three have served me well. Although I'm beginning to think of replacing the 4 1/2" knife with a smaller one...
If I could carry only one in the woods, it would definitely be the bowie, because it does all of what the other two do, nearly as well, and is a much more effective weapon than either, at least in my humble hands. I would be nervous about not having a back-up, though.
Forced to abandon my romantic notions of slaying bears and savage marauders with a bowie and carrying strictly for utility, I would bring the hawk and the drop-point.
Generally I bring all three. And there's always a folder of some kind in my pocket... the weight of another good knife or two is worth it, in my opinion. Did I mention back-up?
I've never taken to a hatchet, mostly because of a total lack of skill. I really suck with them, poor aim under any sort of power, glancing all the time, tearing up handles.
I feel the same way about machetes... I just seem to be clumsy with them. Millions of people all over the planet have done just fine with them, though.
Believe it or not but a sharp machete can cut down at tree faster than a hatchet because the blade material is thinner and cross cuts ( against the grain) much better than a thick hatchet.
Good point, but if one takes a reasonably thin-bladed 'hawk or hatchet and spends an afternoon "feathering" the cutting edge back, (my little term for a sort-of-convex edge) the cross-cutting ability improves dramatically, and you still have the weight of the tool behind it. Not knocking machetes at all, just throwing in my $.02 for those who like to fiddle with their knives/tools and make them a little better

I admit I have not yet successfully flipped burgers with my bowie :/