Consider a physical situation in which a particle moves from point A to point B. ?

Question

This process is described from two coordinate systems that are identical except that they have different origins.

The __________ of the particle at point A differ(s) as expressed in one coordinate system compared to the other, but the __________ from A to B is/are the same as expressed in both coordinate systems.

Answer 1

The "coordinates" (scalars) of the particle at point A differ

from those of point B.

but the "vectors" at any point during the

trip are the same relative to A or B.

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A coordinate transformation from A to B or vise versa

where each system has it's own set of basis vectors

would be used to find the "other systems scalars".

But, the vector magnitude and direction at any

point would not change relative to A or B