Visually verifying the line of intersection of two planes is another early topic where I get my students used to using the CalcPlot3D applet themselves. Below is an example of this type of problem:
Exercise:
Click here to open the CalcPlot3D applet in a new window.
Click here to open a pdf file which contains the instructions for the activity.
Answer Line: | \(x = 3+14t\) | Here are the plane equations, solved for z: | |
\(y=-1+2t\) | \(z=(2x+y-5)/2\) | ||
\(z=15t\) | \(z=(3x-6y-15)/2\) |