The GetDimension command finds out if a line, plane or point object is in two-dimensional or three-dimensional space.

A point, by definition, has dimension zero; a line has dimension one; and a plane has dimension two. But the space in which these objects live has a different dimension (two or three, for the Student[MultivariateCalculus] package). It is this dimension that the GetDimension command returns.

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

$\mathrm{l1}≔\mathrm{Line}\left(\left[0\,4\,2\right]\,⟨1\,1\,1⟩\right)\:$

$\mathrm{GetDimension}\left(\mathrm{l1}\right)$

$3$

$\mathrm{p1}≔\mathrm{Plane}\left(\left[0\,4\,2\right]\,\left[5\,9\,7\right]\,\left[-1\,6\,3\right]\right)\:$

$\mathrm{GetDimension}\left(\mathrm{p1}\right)$

$3$

$\mathrm{l2}≔\mathrm{Line}\left(\left[0\,2\right]\,\left[0\,1\right]\right)\:$

$\mathrm{GetDimension}\left(\mathrm{l2}\right)$

$2$

$\mathrm{GetDimension}\left(\left[3\,2\,1\right]\right)$

$3$

The Student[MultivariateCalculus][GetDimension] command was introduced in Maple 17.

For more information on Maple 17 changes, see Updates in Maple 17.