I was reading up a little on reference frames and am confused about a certain detail. Is it correct to say that the positive $x$-axis, for example, can be defined as follows?
$ X^+ = \lim_{C \rightarrow \, 0^+} C^{-1}\langle 1,0,0\rangle \ \ \ \ \ \ \ \ \ \ \ \ (1) $
Here, $\langle a_1, a_2, a_3\rangle$ represents the vector with origin at $(0,0,0)$ and terminal point at $(a_1, a_2, a_3)$. Also, this is just a question I have, not something I read. Thanks to all in advance.