The SetCoordinates(v, c) calling sequence sets the coordinate attribute on the Vector v.

Important: The SetCoordinates command does not convert a Vector to a new coordinate system. It simply changes the coordinate system attribute. To convert a Vector to a new coordinate system, use the MapToBasis command.

The SetCoordinates(c) calling sequence sets the default coordinate system to c.

If c is given only as a name, default coordinate names are used for the display (only) of Vectors.

To be able to create a vector field using the default coordinate system, you must provide names for the coordinates in the index to the coordinate system specification c of the SetCoordinates call. See the Examples section.

The coordinate systems recognized by the Student[VectorCalculus] package are described in Coordinates.

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

$\mathrm{SetCoordinates}\left(\mathrm{cartesian}\left[x,y\right]\right)$

${\mathrm{cartesian}}_{x,y}$

$v≔⟨a\,b⟩$

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

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

${\mathrm{polar}}_{r,\mathrm{\theta }}$

$\mathrm{SetCoordinates}\left(\mathrm{spherical}\right)$

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

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

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

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

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

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

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