Q: How many points do you need to determine a unique plane?

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A plane can be determined by three points, as long as the three points do not lie along a single line.

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Two distinct (different) points are needed to determine a line.

a line has to have at least 2 points.a plane has to have at least 3 points.______________It takes two points to define a unique line in Euclidean space. But every line and every line segment contains infinitely many points. The same is true for planes in Euclidean space. You need at least 3 points to define a unique plane, but every plane containes infinitely many points and infinitely many lines or line segments.

There are infinitely many points in a plane.

Related questions

A plane can be determined by three points, as long as the three points do not lie along a single line.

3

2

Two distinct (different) points are needed to determine a line.

Yes- planes contain infinitely many points and every pair of points in plane determine a line in that plane, so every plane contains infinitely many lines.

2

To create a plane, infinitely many. To uniquely determine a plane, just three.

a line has to have at least 2 points.a plane has to have at least 3 points.______________It takes two points to define a unique line in Euclidean space. But every line and every line segment contains infinitely many points. The same is true for planes in Euclidean space. You need at least 3 points to define a unique plane, but every plane containes infinitely many points and infinitely many lines or line segments.

If you were to have 3 points on the same line, then you would actually not be determining a plane, because there are infinitely many planes that can intersect a given line. But if you have 3 points in the form of the points (or vertices) of a triangle, then you determine a plane in the sense that there is only one possible plane upon which that triangle can be drawn (not including a degenerate triangle, which is equivalent to a line).

There are infinitely many points in a plane.

Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.

Three collinear points don't define a plane."Define" means narrow it down to one and only one unique plane, so that it can't be confused with any other one.There are many different planes (actually infinite) that can contain three collinear points, so no unique plane is defined.