# Right-handed coordinate system

1. Feb 6, 2008

### ehrenfest

1. The problem statement, all variables and given/known data
Can someone give me a real rigorous definition of what a right-handed coordinate system is? I can't find one on the internet.

Is this true:

A coordinate system is right-handed IF AND ONLY IF x-hat cross y-hat = z-hat

?

2. Relevant equations

3. The attempt at a solution

Last edited: Feb 6, 2008
2. Feb 6, 2008

### NateTG

Yes.
In a left-handed system, $\hat{x} \times \hat{y}= - \hat{z}$