# Vector equation of plane: Parametric

- Author:
- Julia Tsygan, ngboonleong

Below you can experiment with entering different vectors to explore different planes. As you do so, consider what you notice and what you wonder.

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?

## Video summary

If you like, check out the video below. It summarizes things in a nifty way.