>>>>>Theta(pi/2) of (0,1) becomes (1,0). >>>> >>>>I think you've rotated in the wrong direction; >>> >>>Oops. I didn't rotate in the wrong direction. I had a total brain fart >and >>>forgot which point comes first. > >Which *point*?? >
Yup. What I mean is that I forgot that the point that's one unit right and zero units up from the origin is (1,0), not (0,1). I.E., I put the y coordinate where the x coordinate should have been and vice-versa.
>But I should have upbraided you on your terminology. In the 2-tuple >(1,0) those two thingies separated by the comma are not *points*.
Oh, I see what you're saying. I guess I should have said "coordinate" in the first place? Maybe my biggest problem with math *is* my terminology, because I can't tell you how many times I've gotten points taken off on proofs where I know what I'm saying, but it's not phrased exactly right. Errors like the one I just made above....
Does talking about all this stuff eventually sort out all these little term problems?