Explain why there are many different vector and parametric equations for a plane. Provide specific examples and justify your answer.

2 answers

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When we choose a point on plane then through this point there is a lot of line goes through this point and these all lines lies on plane and these are perpendicular to the normal vector of plane.then we can say there is a lot of vector passing through this point.because there's a lot of vector then when we choose a point on plane there will be a lot of vector through which we can write parametric form.
How will I write parametric form of line because there's a lot of line passing through this point then there will be a lot of parametric form