I think (although I can't find a hard and fast definition), that deep vee defines deadrise at the transom of more than about 15 degrees - where deadrise is the angle rising each side above the horizontal. Classic deep vees have a relatively constant deadrise along the straight or relatively straight part of the keel. Between 20 and 24 degrees or more would be relatively normal for a classic deep vee. Higher deadrise angles cut through waves and chop better, and hence tend to "ride" better on rough water. Lower deadrise angles will make for a faster boat, and greater stability on flat water. There are hybrids as well - where the boat is relatively flat at the transom, but the deadrise increases up to the "breaking point" - the sharp curve in the keel. The idea being that, if the boat rides relatively flat, the sharper deadrise towards the bow cuts through the waves, but the flatter rear retains most of the planing ability. These are generalisations, and disregard other significant factors like chine rails, the shape of the keel etc etc.
It sounds like you're planning on building from scratch.......
Ian