truefalse ; whether the first argument contains the second argument

The Contains command tests if all of the points in the second object are in the first object. Typically, it tests if a Line or Plane contains a given point, or if a Plane contains a given Line.

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

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

$\mathrm{Contains}\left(\mathrm{l1}\,\left[1\,5\,3\right]\right)$

$\mathrm{true}$

$\mathrm{Contains}\left(\mathrm{l1}\,\left[0\,0\,0\right]\right)$

$\mathrm{false}$

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

$\mathrm{Contains}\left(\mathrm{p1}\,\mathrm{l1}\right)$

$\mathrm{true}$

$\mathrm{Contains}\left(\mathrm{p1}\,\left[0\,0\,0\right]\right)$

$\mathrm{false}$

$\mathrm{l2}≔\mathrm{Line}\left(\left[0\,1\,-1\right]\,⟨4\,2\,6⟩\right)\:$

$\mathrm{Contains}\left(\mathrm{p1}\,\mathrm{l2}\right)$

$\mathrm{false}$

$\mathrm{GetIntersection}\left(\mathrm{l2}\,\mathrm{p1}\right)$

$\left[\frac{6}{5}\,\frac{8}{5}\,\frac{4}{5}\right]$

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

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