- #36

cianfa72

- 2,452

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Just as an example consider the following picture:

It is the affine 2-plane in a curvilinear coordinate system. The position vector field is

It is the affine 2-plane in a curvilinear coordinate system. The position vector field is

*still*defined at each point as long as an origin A is chosen (since it depends on the definition of affine space alone). The*components*of the position vector field*evaluated*at point B or C depend on the coordinate/holonomic basis vectors associated to the curvilinear coordinate system at point B or C respectively.
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