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What does three noncollinear points determine?
A plane
What does the math term noncollinear mean?
Since collinear is points that lie on the same line, and you need two points to form a line so those 2 points are collinear. So the opposite of that is noncollinear.
Can two points be noncollinear?
No. Any two points can be made to form a line.
What is a real life example of a noncollinear point?
A real-life example of noncollinear points can be found in the layout of a triangular park. If you consider three trees planted at different corners of the park, those trees represent noncollinear points because they do not lie on the same straight line. Each tree's position forms a distinct vertex of the triangle, illustrating how noncollinear points can create shapes in a spatial context.
The number of noncollinear points needed to determine a circle?
Three.
Can one plane sometimes pass through three noncollinear points?
no
Whit is the greatest number of planes determined by four noncollinear points?
8
Are four noncollinear points always coplanar?
No. For example, consider the vertices of a tetrahedron (triangle-based pyramid).
If four points are coplanar then they are noncollinear?
They need not be. The four vertices of a quadrilateral are coplanar but NOT collinear. On the other hand, any line (in Eucledian geometry) has an infinite number of points on it - all of which are coplanar.
Points that do not lie on the same line?
noncollinear
What does three noncollinear points determine?
A plane
What does the math term noncollinear mean?
Since collinear is points that lie on the same line, and you need two points to form a line so those 2 points are collinear. So the opposite of that is noncollinear.
Can two points be noncollinear?
No. Any two points can be made to form a line.
How many points does a noncollinear plane has?
Any Euclidean plane has infinitely many points.
What are the number of noncollinear points needed to determine a circle?
3
How many noncollinear points are needed to determine a circle?
3
How many noncollinear points does a plane contain?
3 or more
