Equation of the Plane through Three Points - Maple Help

Equation of the Plane through Three Points

 Description Compute the equation of the plane through three points.

Specify the first point.

 > $\mathrm{geom3d}\left[\mathrm{point}\right]\left(a,{3}{,}{5}{,}{2}\right)$
 ${a}$ (1)

Specify the second point.

 > $\mathrm{geom3d}\left[\mathrm{point}\right]\left(b,{-}{1}{,}{4}{,}{-}{3}\right)$
 ${b}$ (2)

Specify the third point.

 > $\mathrm{geom3d}\left[\mathrm{point}\right]\left(c,{0}{,}{1}{,}{0}\right)$
 ${c}$ (3)

Define the plane using the three points.

 > $\mathrm{geom3d}\left[\mathrm{plane}\right]\left(p,\left[a,b,c\right]\right):$

Compute the equation of the plane.

 > $\mathrm{geom3d}\left[\mathrm{Equation}\right]\left(p,\left[x,y,z\right]\right)$
 ${-}{7}{-}{18}{}{x}{+}{7}{}{y}{+}{13}{}{z}{=}{0}$ (4)
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