In my class notes my professor defined a true vector as a vector which does not depend on origin placement. Once he defined it he went on with an example of how a vectors magnitude is conserved in two different coordinate systems. So my question is what is the definition of a true vector? Is it just a vector whose magnitude does not depend on origin placement? he also defined "other vectors" as vectors who's magnitude does not change upon rotation and for some reason I think he referred to these as scalers, which doesn't make sense to me. He told us that both scalars and vectors are both tensors but I still don't see the point he was trying to make.