Nice answer.I have another doubt.a manual lathe is a '1.5 axis' machine, in machinist parlance. It has 2 axes of motion, but only 1 can be (usefully) operated at a time. A lathe with CNC on X and Y can coordinate motion, and is a 2-axis machine.
Nice answer.it is good for you to ask questions. it is how we learn.
From a very good machine tool publication-
https://www.practicalmachinist.com/vb/cnc-machining/definition-each-lathe-axis-152203/
On a lathe it is standard for the Longitudinal to be Z and the Radial to be X. Vectors are I and K
The axis parallel to the spindle axis is always Z, whether its a mill or lathe. And, for the lathe, the axis that controls the diameter is always X.
And the Lathe rotary axis conform to the standard of A rotates around X, B around Y, and C around the Z.
C is the most common on a Lathe, as it relatively easy to turn the chuck into a C axis.
your teacher may be referring to the length of the lathe travel. I have sold coordinate measurement machines and these are typically described in length of travel. so see if the lathe can traverse 1.5 meters or 60 inches.