The SetCoordinates(v, c) command sets the coordinate attribute on the Vector v.  If the parameter v is not specified, it sets the default coordinates to c.

If c is given only as a name, default coordinate names are used for the display (only) of Vectors.  In order to create a vector field using the coordinate system set by a call to SetCoordinates, you must provide names for the coordinates, in the index to the coordinate specification c.

The coordinate systems recognized by the VectorCalculus package are described in coords.  For information on how to add new coordinate systems, see AddCoordinates.

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

$v≔⟨a\,b⟩$

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

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

$\mathrm{polar}$

$\mathrm{SetCoordinates}\left('\mathrm{spherical}'\left[r,\mathrm{\phi },\mathrm{\theta }\right]\right)$

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

$v≔\mathrm{VectorField}\left(⟨r\,0\,0⟩\right)$

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

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