Explain why there are many different vector and parametric equations for a plane.

Question

Provide specific examples to justify your answer.

Answer 1

I answered an almost identical question here,
https://www.jiskha.com/questions/1828005/explain-why-there-are-many-different-vector-and-parametric-equations-for-a-plane-provide

Note that I pointed out a typo in my response which I corrected. It had no effect
on the explanation.