BAH, evilzone crashed on me 90% of the way through the reply. So I'll short hand this one.
I have never in all my days in university seen
AxB = ||A||||B||sinxn (and I have above 85% as an average)
I think the fact that we get a vector was just implied, in fact was what I meant when I wrote it down, however I will totally admit that the way I wrote it was incorrect (im not used to using ||'s online, in fact I only used them because i copied part of your formula quick lmao)
Either way the geometric definitions don't matter at all, they are equivalent to the definition of a derivative, sure it teaches the concepts but you could just as easily give the kids chain rule and be done with it.
So, Kiuhmn, I thank you for that new formula I'll never use and apologize for my harshness before in saying it was wrong, I assumed you, like most others I've seen MEANT
||AxB|| = ||A|| ...
because i had never seen your format, we shouldn't really bring up a format with unit vectors seperate from their magnitudes for a high schooler tho.
Any way, NOW im bowing out, I've said my bit, I think you just learn how to use these and not worry as much about their def'ns. But that's just my opinion and it probably comes from me being an Applied Sciences student, not a math major.
