list ; A point on a line or plane

The GetPoint command returns an arbitrary point on a line or plane.

This command guarantees that the point returned lies on the line or the plane, but it does not guarantee the location of the point relative to the axis, the origin, or any points provided to Line or Plane constructors.

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

$l≔\mathrm{Line}\left(\left[1\,5\,2\right]\,\left[3\,2\,2\right]\right)\:$

$\mathrm{GetPoint}\left(l\right)$

$\left[1\,5\,2\right]$

$\mathrm{Contains}\left(l\,\left[1\,5\,2\right]\right)$

$\mathrm{true}$

$p≔\mathrm{Plane}\left(3x-7y-9z=8\right)\:$

$\mathrm{pt}≔\left[\frac{24}{139}\,-\frac{56}{139}\,-\frac{72}{139}\right]\:$

$\mathrm{Contains}\left(p\,\mathrm{pt}\right)$

$\mathrm{true}$

$\mathrm{pp}≔\mathrm{GetPlot}\left(\mathrm{Plane}\left(3x-7y-9z=8\right)\,\mathrm{caption}=''''\,\mathrm{shownormal}=\mathrm{false}\,\mathrm{showpoint}=\mathrm{false}\right)\:$

$\mathrm{pt}≔\mathrm{plots}\left[\mathrm{pointplot3d}\right]\left(\left[\mathrm{pt}\right]\,'\mathrm{symbol}'='\mathrm{solidcircle}'\,'\mathrm{symbolsize}'=20\,'\mathrm{color}'=''black''\right)\:$

$\mathrm{plots}\left[\mathrm{display}\right]\left(\left[\mathrm{pp}\,\mathrm{pt}\right]\right)$

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

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