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A plane is named by three points on the ...

A plane is named by three points on the plane which are collinear ?

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To determine if a plane can be named by three collinear points, we need to understand the concept of collinearity and how it relates to planes in geometry. ### Step-by-Step Solution: 1. **Understanding Collinear Points:** - Collinear points are points that lie on the same straight line. For example, if we have three points A, B, and C, they are collinear if they can be connected by a single straight line. 2. **Definition of a Plane:** - A plane in geometry is a flat, two-dimensional surface that extends infinitely in all directions. A plane can be defined by three non-collinear points. 3. **Analyzing the Question:** - The question asks whether a plane can be named by three points that are collinear. Since collinear points lie on the same line, they do not define a unique plane. 4. **Conclusion:** - Therefore, three collinear points do not define a plane. They only define a line. A plane requires three points that are not all on the same line (non-collinear points). ### Final Answer: A plane cannot be named by three points that are collinear. ---
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