GetNormal - Maple Help

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Student[MultivariateCalculus]

 GetNormal
 a normal vector for a plane

 Calling Sequence GetNormal(p)

Parameters

 p - Plane ; Plane defined in Student[MultivariateCalculus].

Returns

 • Vector ; Normal vector for the plane.

Description

 • 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.

Examples

 > $\mathrm{with}\left(\mathrm{Student}\left[\mathrm{MultivariateCalculus}\right]\right):$
 > $\mathrm{p1}≔\mathrm{Plane}\left(\left[2,3,-3\right],⟨5,3,1⟩\right):$
 > $\mathrm{GetNormal}\left(\mathrm{p1}\right)$
 $\left[\begin{array}{c}{5}\\ {3}\\ {1}\end{array}\right]$ (1)
 > $\mathrm{GetPlot}\left(\mathrm{Plane}\left(\left[2,3,-3\right],⟨5,3,1⟩\right)\right)$

The normal vector can be obtained from a plane defined by any Plane constructor.

 > $\mathrm{p2}≔\mathrm{Plane}\left(\left[3,6,1\right],\left[4,1,-5\right],\left[3,2,0\right],'\mathrm{variables}'=\left[u,v,x\right]\right):$
 > $\mathrm{GetRepresentation}\left(\mathrm{p2}\right)$
 ${-}{19}{}{u}{+}{v}{-}{4}{}{x}{=}{-55}$ (2)
 > $\mathrm{GetNormal}\left(\mathrm{p2}\right)$
 $\left[\begin{array}{c}{-19}\\ {1}\\ {-4}\end{array}\right]$ (3)
 > $\mathrm{GetPlot}\left(\mathrm{Plane}\left(\left[3,6,1\right],\left[4,1,-5\right],\left[3,2,0\right],'\mathrm{variables}'=\left[u,v,x\right]\right)\right)$

Compatibility

 • The Student[MultivariateCalculus][GetNormal] command was introduced in Maple 17.
 • For more information on Maple 17 changes, see Updates in Maple 17.