The Cross Product in Non Orthogonal Coordinate Systems
The form of the cross product I’ve shown in my post Coriolis Forces is:
The components of this cross product can be written as follows:
We will abbreviate these relationships as follows:
Now define the coordinate transform:
where
Then the cross product components can be written as follows:
Now Right multiplying the matrix by the transform gives:
Which can be written in this form:
Where:
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There’s good info here. I did a search on the topic and found most people will agree with your blog. Keep up the good work mate!
Comment by DennisVega  September 30, 2009 
Hey, I read a lot of blogs on a daily basis and for the most part, people lack substance but, I just wanted to make a quick comment to say GREAT blog!…..I”ll be checking in on a regularly now….Keep up the good work! 🙂
Comment by Tnelson  September 30, 2009 