I asked mainly so I can find an equivalent question from the same year in my university here - not to say "Oh look, these are the questions I do!" or anything (because in my first year at university I couldn't do these, lol!) but mainly to compare the different style of questions. Ideally it would be from an engineering paper but I don't seem to have access to those currently. I might put one up from a first-year physics paper some time soon.
As far as vectors go, I started to love them about a year or so ago, but funnily enough that was also the same time that I stopped doing the number work with them! The algebra of vectors can be quite wonderful and elegant. Switch to math, Sandoz, and save yourself from engineering tedium... do it!!