As I said earlier I think this obsession with the title is a red herring  The vast majority of sources refer to these things as vectors without qualification and something really technically precise like vector contravariant with Euclidean manifold will repel most of the intended audience  We just have to settle for something moreorless reasonable like Vector geometric or Vector spatialI honestly dont much care as long as it not directly misleading like Vector threedimensional or Vector physicsand focus instead on making the article text clear