There's some factors to consider: is your nape hair broken due to chemicals or heat? Or was your hair always like that before using any chemicals or heat? It's entirely possible that this is just your natural hair growth pattern. My nape hairs never get longer than an inch or two and they are always shorter than the rest of my hair.
"The challenge is to be yourself in a world that is trying to make you like everybody else."
"...rationality is not necessary to sell things.."
My staples: Mane n Tail (cowash), Garnier Fructis Sleek n Shine (leave in condish), Grapeseed oil or shea butter (sealing), Organic Root Stimulator Elasticitea (leave-in condish & light hold)