Vector equation of plane: Parametric
How would you explain the role of "a" in the parametric equation of a plane?
Why does a plane require two non-parallel direction vectors, when a line only required one?
Why do the direction vectors need to be non-parallel?
Why could the equation of a plane be written in infinitely many correct ways?
What role to the "parameters" lambda and mu have in the parametric equation of the plane? (Experiment with r in the applet to explore.)
Is there anything you are wondering about parametric form of planes in space?