I am studying the Lorentz transformations and while I [believe] I understand the principle of it (you’re sorta “translating” from one frame of reference to the other), I am having a lot of trouble understanding when we are supposed to use

$x_{B} = \gamma(x_{A} - v_{xBA}t_{A})$


$x_{A} = \gamma(x_{B} + v_{xAB}t_{B})$

While I am well aware that one relative speed from a referential is the negative of the other referential, I cannot understand how I can choose which is which.

Edit: is it because by doing the negative speed it (if $v_{xAB} = - v_{xBA})$ makes up for it and it comes down to the same formula?


Yes, your edit is right. It does come down to the same Lorentz transformation formula.


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