Distance between a Line and a Plane in 3-D - Maple Programming Help

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Distance between a Line and a Plane in 3-D

 Description Measure the distance between a line and a plane in three-dimensional space.

Define the line by specifying two different points on the line.

Specify a point on the line.

 > $\mathrm{geom3d}\left[\mathrm{point}\right]\left(a,{4}{,}{-}{7}{,}{4}\right)$
 ${a}$ (1)

Specify another point on the line.

 > $\mathrm{geom3d}\left[\mathrm{point}\right]\left(b,{0}{,}{3}{,}{-}{2}\right)$
 ${b}$ (2)

Define the line using the two points.

 > $\mathrm{geom3d}\left[\mathrm{line}\right]\left(l,\left[a,b\right]\right)$
 ${l}$ (3)

Specify the plane.

 >
 ${p}$ (4)

Measure the distance between the line and the plane.

 > $\mathrm{geom3d}\left[\mathrm{distance}\right]\left(l,p\right)$
 $\frac{{2}}{{7}}{}\sqrt{{14}}$ (5)
 Commands Used