Parallel and Perpendicular Planes - Maple Help

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Parallel and Perpendicular Planes

 Main Concept The equation of a plane in ${\mathrm{ℝ}}^{3}$ can be given as where A, B, C, D are parameters.   The normal vector to the plane with the above equation is the vector .   Two planes and ${\mathrm{π}}_{2}$ are perpendicular when their respective normals and ${n}_{2}$ are perpendicular:     Two planes and ${\mathrm{π}}_{2}$ are parallel when their respective normals and ${n}_{2}$ are parallel:   ${n}_{1}×{n}_{2}=0$

Change the coefficients of the Cartesian equation of the planes to see how they change. Select the check box to see the normal vectors.

 ${A}_{1}=$ ${B}_{1}=$ ${C}_{1}=$ ${D}_{1}=$ ${A}_{2}=$ ${B}_{2}=$ ${C}_{2}=$ ${D}_{2}=$





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