0

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

Updated: 4/28/2022

Wiki User

12y ago

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.

Wiki User

12y ago

Earn +20 pts
Q: How many non-collinear points are there in one plane?
Submit
Still have questions?
Related questions

just one

no

### How many different planes are determined by three noncollinear points?

3 non-collinear points define one plane.

### Can three noncollinear points be contained on one plane?

Yes. You require three non-collinear points to uniquely define a plane!

### How many planes can be drawn through any three noncollinear points?

Only one plane can pass through 3 non-collinear points.

### Are three noncollinear points always contained in only one plane?

Yes a plane can always be drawn three any three points, whether they are linear or not.

One.exactly one

### Points A B and C are noncollinear How many planes can be determined by A B and C?

exactly one and only one.

### From any point on a property a surveyor can locate a straight line to any other point on the property?

Through any three noncollinear points, there is exactly one plane.

### 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.

### How many planes can be determined if the point noncollinear?

The answer depends on the number of point. One point - as the question states - cannot be non-collinear. Any two points are always collinear. But three or more points will define a plane. If four points are non-coplanar, they will define four planes (as in a tetrahedron).

### 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.