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Can 3 collinear points define a plane?

Updated: 4/28/2022
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14y ago

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No, they have to be noncolinear, that is they all can't be on the same line.

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14y ago
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Q: Can 3 collinear points define a plane?
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Related questions

How many different lines are determined by 3 non collinear points?

Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.


Do 3 non collinear points lie in at least one plane?

Three non-collinear points always define exactly one and only one plane. That's why a 3-legged table or chair never wobbles.


How many non collinear points are needed to create a plane?

To create a plane, infinitely many. But to uniquely define one, 3 are enough.


How many different planes are determined by three noncollinear points?

3 non-collinear points define one plane.


How many points can be on one plane?

A minimum of three points are required to define a plne (if they are not collinear). And in projective geometry you can have a plane with only 3 points. Boring, but true. In normal circumstances, a plane will have infinitely many points. Not only that, there are infinitely many in the tiniest portion of the plane.


How many non-collinear points are there in one plane?

There are an infinite number of any kind of points in any plane. But once you have three ( 3 ) non-collinear points, you know exactly which plane they're in, because there's no other plane that contains the same three non-collinear points.


What will any 3 non-collinear points form?

A plane


How many points determines a plane?

Three, provided they are not collinear.


Can two points determine a plane?

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


What are the meaning of collinear and coplanar points?

They are lines or points that lie on the same plane. Remember 3 or more points are collinear if they lie on the same line. IF those lines lie on the same plane they are coplanar.


How many lines can be drawn out of 14 points on a plane with no 3 or more points collinear?

There are 91 lines.


What do you need to fix a plane?

There are 3 ways to fix a plane. 1. Three non-collinear points . 2. A line and a point not on the line. 3. Two intersecting but non-collinear lines