Question

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

Answer 1

Although theoretically there are indefinite lines in a space and in a plane , two 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)

Answer 2

A plane can only be defined by two or three non-collinear points, although space can theoretically have an infinite number of lines.

What is a coordinate system?

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

A plane can only be defined by two or three non-collinear points, although space can theoretically have an infinite number of lines. Due to the fact that two points constitute a line, it will thus need to be defined by two intersecting lines; these intersecting lines help define coordinates (x,y).

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