Question: Laborious process of drawing planes and points

Dear Maple users

I wanted Maple to draw two planes in 3D with some points on each plane. Each plane are given by an equation of the form a*x+b*y+c*z+d=0. I know there are a number of options.

1. Implicitplot3d.

2. Isolate z in the equation in order to plot the plane as the graph of a function of two variables using plot3d.

3. Find two vectors orthogonal to the normal vector and create a plot of a parametrized surface using plot3d.

4. Use the command PlanePlot from the Student[Linear Algebra] package.

The first option delivers an ugly result due to the grid. It also requires quite a lot of computation internally. The second option can be used, but one need to isolate z in the equation (and what if the plane has the equation z = constant). Option three also is OK, but again require some calculations. The fourth option I just found and it is quite interesting. Unfortunately my points did fall beyond the small square representing the plane, and it seems like there is no way to enlarge this square.

I ended up choosing option 2 and put some transparency on each plane. I am just puzzled why it is so laborious to plot those planes and points. GeoGebra could do it right away. 

Or maybe I have overlooked something?

KInd regards,

Erik