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A series of 3 points will always determine a plane unless 2 or all 3 points are identical points (they have the same coordinates).
If the idea is to have the three points determine oneplane, a unique plane, then three points will do that as long as none of them have the same spacial coordinates (have identical locations) or as long as the three points do not lie on a single line.
If a straight line can be drawn through all three points, they will not form one unique plane either.
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How many planes can pass through one point?
I would say that there are an infinite number of planes that can pass through a pair of skew lines. In order to find the equation of a plane, all you need is three points. take two points off of one line and one point off of the other line and you should be able to derive the equation of a plane. Since the number of points on a line is infinite, an infinite number of planes can be derived.
How do you place four points equidistant from each other?
To place four points equidistant from each other, you would need to arrange them in the shape of a perfect square. This means that each point would be the same distance away from the other three points, forming equal sides of the square. The distance between each point can be calculated using the Pythagorean theorem if the coordinates of the points are known.
Where do all the points in space equidistant from a given point lie?
I'm not sure, but I would imagine they would be 360O around the point and only in the same plane.
What is a plane in geometry?
A plane is a flat, closed figure.a flat surface on which a straight line joining any two points on it would wholly lie:
What describes as all the points on a plane that are the same distance from a single point called a center?
A circle or a sphere would fit the given description.
