Home Forums Math Explain why there must be at least two lines on any given plane.

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Explain why there must be at least two lines on any given plane.

• This topic was modified 2 years, 3 months ago by ProtonsTalk.
• This topic was modified 1 year, 11 months ago by ProtonsTalk.
#20861
ProtonsTalk
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A plane can’t be defined using less than two lines. Suppose there is only one line then, there can be infinitely many planes passing through it.

So, we atleast need two lines to uniquely define a plane.

Note: We can also have a line and a point not on it, 3 collinear points, two parallel lines or two intersecting lines. But all of these again form two or more lines only.

So, eventually we atleast need two lines to form a unique plane.

• This reply was modified 2 years, 3 months ago by ProtonsTalk.
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