Vector ; Normal vector for the plane.

The GetNormal command obtains a normal vector for a plane.  This vector is by definition orthogonal to the plane.

The normal vector is not necessarily simplified.

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

$\mathrm{p1}≔\mathrm{Plane}\left(\left[2\,3\,-3\right]\,⟨5\,3\,1⟩\right)\:$

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

$\left[\begin{array}{c}5\\ 3\\ 1\end{array}\right]$

$\mathrm{GetPlot}\left(\mathrm{Plane}\left(\left[2\,3\,-3\right]\,⟨5\,3\,1⟩\right)\right)$

$\mathrm{p2}≔\mathrm{Plane}\left(\left[3\,6\,1\right]\,\left[4\,1\,-5\right]\,\left[3\,2\,0\right]\,'\mathrm{variables}'=\left[u\,v\,x\right]\right)\:$

$\mathrm{GetRepresentation}\left(\mathrm{p2}\right)$

$-19u+v-4x=\mathrm{-55}$

$\mathrm{GetNormal}\left(\mathrm{p2}\right)$

$\left[\begin{array}{c}\mathrm{-19}\\ 1\\ \mathrm{-4}\end{array}\right]$

$\mathrm{GetPlot}\left(\mathrm{Plane}\left(\left[3\,6\,1\right]\,\left[4\,1\,-5\right]\,\left[3\,2\,0\right]\,'\mathrm{variables}'=\left[u\,v\,x\right]\right)\right)$

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

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