Recent content by alt20

Ok, but surely that still assumes that \vec{u} and \vec{v} are perpendicular?

Okey dokey. Adding a third dimension to allow the cross product to be calculated: d\vec{x} \times d\vec{y} = \left[\left(\frac{\partial x}{\partial v}dv\right)(0)-(0)\left(\frac{\partial y}{\partial v}dv\right)\right] \vec{i} + \left[(0)\left(\frac{\partial y}{\partial...

Hi, I'm having some problems with the derivation of the Jacobian determinant when used to describe co-ordinate transformations. As I understand it, the Jacobian determinant should relate the areas defined by two vectors in both co-ordinate systems. As the vectors are not necessarily...