8. Time to explain:a) why does the vector equation of a plane have two parameters, while the vector equation of a linehas only one?b) can any three points define a plane? Explain.

Part (a) A line is a defined in one dimension, whereas, a plane is defined in 2 dimensions. So, for…

Answered: 8. Time to explain: a) why does the…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.6: Equations Of Lines And Planes

Problem 2E

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8. Time to explain: a) why does the vector equation of a plane have two parameters, while the vector equation of a line. has only one? b) can any three points define a plane? Explain.