Adapt the applet to help solve each problem.[br][br]In some of these questions, the applet has less information, and you may need to add points and vectors to this to help you solve each problem.
Find the shortest distance from a point to a plane (generally, but you may use anexample first to help you discover the method)[br][br]To use the applet below, you can drag around the point [math]A[/math] to see what is happening with the shortest distance. From this, figure out how you would find this algebraically.
Why is it easier finding the shortest distance from a point to a plane, rather then a point to a line?
Planes are defined by their normal, so you know the direction of the vector perpendicular to the plane.
You can hide and unhide lines and planes to help you with questions 18 and 19. [br]You can also change the equations of each of the plane.