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Do two points determine a plane?

Updated: 4/28/2022
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11y ago

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No. Three points do. Two points determine a line.

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Q: Do two points determine a plane?
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Continue Learning about Geometry

What is the minimum number of points needed to identify a line?

Two. Two points determine a line. Three points determine a plane.


Three what points determine a plane?

Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them. An infinite number of planes can be drawn that include the line. But if you pick a third point that does not lie on the line. There will be exactly one plane that will contain the line and that point you added last. Only oneplane can contain the line, which was determined by the first two points, and the last point.


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.


What do you call two or more points that lie on the same plane?

Points on the same plane are coplanar lines.


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.

Related questions

Can two points determine a plane?

No, 2 points define a line, 3 points define a plane.


What is the minimum number of points needed to identify a line?

Two. Two points determine a line. Three points determine a plane.


Three points that determine a plane?

Any 3 points determine a plane.


What is a two points determine exactly one?

In plane geometry, two points determines or defines one unique line.


What is the minimum number of points for a plane?

3.Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them.


What determines a plane?

three points can determine a plane


Three what points determine a plane?

Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them. An infinite number of planes can be drawn that include the line. But if you pick a third point that does not lie on the line. There will be exactly one plane that will contain the line and that point you added last. Only oneplane can contain the line, which was determined by the first two points, and the last point.


What are the uses of Coordinates?

a coordinate is two pairs of numbers used to determine points in a plane


Is it true that the four coplanar points determine three unique plane?

No. If the four points are coplanar, they determine only one plane!


Can three points determine space?

Three points can determine a plane but not 3-d space.


When are four points in a plane?

Any 4 points can lie in a plane, 3 points determine a plane and just take the 4th to be say the origin.


What does three noncollinear points determine?

A plane