Through any ____ points not on the same line, there is exactly one plane
three
Through any three non-collinear points, there is exactly one plane in three-dimensional space. This is known as the unique existence property of planes in three-dimensional geometry. We can use this property to determine the equation of the plane passing through these three points using vector algebra or parametric equations.
When we have more than three points not on the same line, we can still use the unique existence property to find the equation of the plane passing through all the points, by selecting any three non-collinear points and applying the method mentioned above. The resulting equation of the plane will hold true for all the other points, as there is only one plane that can pass through all of them.
More Answers:
The Intersection Of Non-Parallel Lines In MathematicsExploring The Fundamentals Of Planes In Geometry: Lines, Angles, Circles, And More
Lines In Geometry: Infinite Pairs Of Connected Points Explained
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