The initial state of this interactive figure shows the planes [math]x=3[/math], [math]y=2[/math], and [math]z=1[/math], together with their intersection point [math](3,2,1)[/math]. The planes [math]x=3[/math] and [math]y=2[/math] intersect in a line parallel to the [math]z[/math]-axis. The intersection line is described by the pair of equations [math]x=3[/math], [math]y=2[/math]. Similarly, the line of intersection of the planes [math]y=2[/math] and [math]z=1[/math] is described by the pair of equations [math]y=2[/math], [math]z=1[/math] and is parallel to the [math]z[/math]-axis. The line of intersection of the planes [math]x=3[/math] and [math]z=1[/math] is described by the pair of equations [math]x=2[/math], [math]z=1[/math] and is parallel to the [math]y[/math]-axis.[br][br]Click on point [math]P[/math] and drag it around the 3D space. Use the checkboxes to hide and show elements in the 3D window.

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]