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How many points determine one plane?
3
How many points are needed to determine a unique plane?
A plane can be determined by three points, as long as the three points do not lie along a single line.
Does a plane contain at least three lines?
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.
How many points do you need to determine a unique plane?
a plane is any plane surface it usually have 3 or 4 points * * * * * You need only three points provided they are not collinear. And most planes have infinitely many points although there are geometries with only a finite number of points.
How many planes will contain 3 noncollinear points?
1, exactly 1 plane will
How many non-collinear points are needed to create a plane?
To create a plane, infinitely many. To uniquely determine a plane, just three.
What is Three points determine a plane?
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).
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.
How many points are in a plane?
There are infinitely many points in a plane.
How many different lines are determined by two points?
In classical or Euclidean plane geometry two points defines exactly one line. On a sphere two points can define infinitely many lines only one of which will represent the shortest distance between the points. On other curved surfaces, or in non-Euclidean geometries, the number of lines determined by two points can vary. Even in the Euclidean plane, two points determine infinitely many lines that are not straight!
How many planes will contain 2 points?
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
How many different planes are determined by three noncollinear points?
3 non-collinear points define one plane.
