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Points all in one plane

Updated: 11/22/2022
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14y ago

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Two dimensional geometry.

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Q: Points all in one plane
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What is the set of all points in the plane equidistant from one point in the plane?

The set of all points in the plane equidistant from one point in the plane is named a parabola.


Can 3 points be non-coplanar is outside the plane?

If you are given a plane, you can always find and number of points that are not in that plane but, given anythree points there is always at least one plane that goes through all three.


Are three points always contained in exactly one plane?

Three points determine exactly one plane.That means that if you bring me a plane, then some or all of my three points may ormay not lie in your plane. But if you bring me three points, then I can always draw aplane in which all of your points lie, and I can also guarantee that it's the only one.By the way ... three points also determine exactly one circle.


Does a plane has two points?

A plane has an infinite number of points. It takes 3 points to fix a plane i.e. you need 3 points to identify one unique plane.


Can three points that define a particular plane also define a different plane?

Only if the 3 points are all in the same line. Then there are an infinite number of planes.If the 3 points are not all in the same line, then there is only one unique plane that contains them.That's what "define" means.


When would three points not determine a plane?

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.


One plane always passes through three noncollinear points?

If you're asking a question, then the answer is 'no'. If you're making a statement, then the statement is false. I can always lay a single plane down on any three points you choose. If your points are in the same straight line, then there an infinite number of other planes that your points all lie in. If they're not all in the same straight line, then there's only one plane.


What is a circal in math terms?

A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).


What is a group of points that extends forever in all directions?

A group of points that extend forever in all directions is called a plane. We often draw a plane with edges, but it really has no edges.


What is the definition of coplanar points?

>Two points that lie on the same plane. Any pair of points on the plane will thus >form a line. (In most basic geometry classes, the majority of the class work is >only concerned with one plane) Any number of points can be coplanar. In fact, any 3 points are always coplanar, and if they are not colinear (all three on the same line), they define a unique plane.


What does coplanar mean?

Coplanar means existing on the same plane. It is used in geometry to refer to points or shapes that all exist on one geometric plane.


Is the set of all points in a plane that are equidistant from a fixed point of the plane called the center?

That set of points forms what is known as a "circle".