Where was an individual in North America supposed to learn?
..some physics professors have been diagnosed with Protrusia Triaxia (unnecessary third axis protruding from diagram).
2 axial + 1 angular dimensions = x, y, r
ALL physics professors declare objects in space using x, y, z (tri-axial).
They do not understand the physics of objects (two axes) well enough to define and demonstrate the mechanics in a simple way. I can explain exactly what the professors call "un-intuitive".
..and they stand there looking as confused as the attendees.
P.S. ..everywhere I turn in physics there is work for so many careers, those which will originate correction and solutions.
To watch a professor attempt to understand his own diagram after fooling himself to begin with, drawing-in the unnecessary third axis ..they stand back, everyone in the room pauses while acceptance of confusion sets in. The third axis remains in the diagram and everybody goes home trapped in a dimension where spinning tops have three axes.
Calculating volume = 3 axes (x, y, z)
Declaring an object in space = 2 axes (x, y, r)
Sailing/Flight/Space navigation bearings = 2 axes (x, y, r)
Quantizing wave function = 2 axes (x, y, r)
Reading a Sundial = 2 axes (x, y, r)
Compass = 2 axes (x, y, r)
Spinning top = 2 axes (x, y, r) best illustrative example
It is terrible, all of those diagrams (decades) "..mine won't spin correctly", "how come this one has twenty dimensions?" "how does the plane land without a Z co-ordinate?" ..and so on. ;)
This demonstrates the speaker is not aware that three axial dimensions are useful when calculating volume. With three axial dimensions one cannot tell time using a sundial nor travel by sextant and astrolabe across the ocean to America.
x, y, z ..three axial dimensions do not represent the dimensions of space, calculates volume (applied from a vertex).
x, y, r ..two axial dimensions and one angular correctly represent the behaviour of objects in space (applied from the origin of x, y, the point of inception).
Within a spinning top, where and how does one orient the third axis?
..one axis is host to angular force, the other linear axis is the load dimension supplied energy through constructive interference, expressed by the entropy (force dispersion) of the drive force axis.