coplanar
In mathematics, the term “coplanar” refers to a set of points or objects that lie in the same plane
In mathematics, the term “coplanar” refers to a set of points or objects that lie in the same plane. A plane is a flat, two-dimensional surface that extends infinitely in all directions. So, when we say that points or objects are coplanar, we mean that they all lie on the same flat surface, without any of them being above or below the plane.
For example, if you have three points A, B, and C, and they all lie on a piece of paper, then these points are coplanar. Alternatively, if you have a set of parallel lines that all lie on the same plane, then these lines are coplanar.
It is important to note that any three non-collinear points will always be coplanar. Non-collinear points are points that are not on the same line. If you have more than three points, they can still be coplanar if they can all lie on the same plane.
Understanding whether points or objects are coplanar is useful in various mathematical disciplines such as geometry and linear algebra. It helps in visualizing and analyzing the relationships and properties of points, lines, and planes within a given space.
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