View Single Post
Mar28-05, 09:34 AM
Sci Advisor
PF Gold
SpaceTiger's Avatar
P: 2,977
Quote Quote by Magos
I'm not even sure such a thing exists :P.

Anyway, if it does, is it correct that it is:
Xc = -Y
Yc = X
(rotation 90 deg counter clockwise)

Couldn't find anything about it on google...
The two-dimensional equivalent of a cross product is a scalar:

[tex]\hat{x} \times \hat{y} = x_{1}y_{2}-x_{2}y_{1}[/tex]

It's also the determinant of the 2x2 row matrix formed by the vectors. I don't think it's usually used, though. Unlike dot products, cross products aren't geometrically generalizable to n dimensions.