Right-handed coordinate system

[ehrenfest]

Homework Statement

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

?

Homework Equations

The Attempt at a Solution

 

[NateTG]

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

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