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Why there must be at least two lines on any given plane

Why there must be at least two lines on any given plane-example-1
User Pceccon
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Although theoretically there are infinite lines in space and in a plane, too, at least three non collinear points are necessary to define a plane. Two intersecting lines will therefore be necessary to define it (two points create a line); these intersecting lines are the ones to help define coordinates (x,y).
User Techpeace
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