State the conditions that determine a plane uniquely.
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In a Euclidean space of any number of dimensions, a plane is uniquely determined by any of the following: Three non-collinear points (points not on a single line). A line and a point not on that line.
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Step-by-step explanation:
A plane is a flat, two-dimensional surface extending infinitely far. It is a two-dimensional (2D) shape and can be made of straight, curved or both the straight and curved lines.
The conditions that determine a plane uniquely are -
Presence of three non-collinear points. The points should not be on a single line.
Presence of a line and a point which is not on that line.
Presence of two parallel lines and
Presence of two distinct but intersecting lines.
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