1 is it mathematically acceptable,
to have a selected point in one coincident system and not both simultaneously?

yes no


given coincident systems Red with selected point P at (2,0,0) and selected point Q in Blue (2,0,0)



2 should the results of
the Blue coordinate system relocated/moved right 3 along x'
be the same results as if
Red system was instead relocated/moved left 3 along x
yes no



3 Given the above depiction, do these two selected point transformations between systems;
the Red system left 3 or the Blue system right 3...
share identical transformations outcomes?


if B right 3, then P in Red = (2,0,0) and Q in Blue = (-1,0,0)


if A left 3, then P in Red = (5,0,0) and Q in Blue = (2,0,0)
yes no