The GetCoordinates(v) command returns the coordinate system associated with the Vector v.  If v is not specified, the default coordinate system is returned.

$\mathrm{with}\left(\mathrm{VectorCalculus}\right)\:$

$\mathrm{GetCoordinates}\left(\right)$

$\mathrm{cartesian}$

$v≔\mathrm{VectorField}\left(⟨r\,0\,0⟩\,'\mathrm{spherical}'\left[r,\mathrm{\phi },\mathrm{\theta }\right]\right)$

$\mathrm{GetCoordinates}\left(v\right)$

${\mathrm{spherical}}_{r,\mathrm{\phi },\mathrm{\theta }}$

$\mathrm{SetCoordinates}\left('\mathrm{polar}'\right)$

$\mathrm{polar}$

$\mathrm{GetCoordinates}\left(⟨a\,b⟩\right)$

$\mathrm{polar}$