This PoSWW is a group effort, on one of the sub-topics in VCAA’s current curriculum:
parallel and perpendicular vectors
There is minimal guidance in the Study Design on what the sub-topic is intended to cover and, in particular, no definitions of “parallel vector” and “perpendicular vector” are provided. Our specific concern is the role of the zero vector.*
Below are definitions and implied definitions from three current Year 12 VCE Specialist Mathematics textbooks. We have attempted to be as fair as possible, for each text selecting the clearest definitions/descriptions we could locate.
*) One might be inclined to argue that this is a minor concern. For those thus inclined, we’ll address the argument soon with a new WitCH.
When I use a word, it means just what I choose it to mean – neither more nor less. Of course that might be different from what I chose it to mean two minutes ago.*
*) To be fair, Jacaranda refers to a vector resolute “parallel to” or “perpendicular to” a given vector; this is not incorrect language (although Jacaranda’s presentation has other issues).