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Does a line contain four non-coplanar points?
No, a line cannot contain four non-coplanar points. By definition, coplanar points are points that lie in the same plane, and any three points determine a plane. Since a line consists of an infinite number of points that are linear, any additional point beyond two points on a line will not be able to create a non-coplanar arrangement with those already on the line. Thus, four points on a line must be coplanar.
A triangle is a figure formed by three segments and four coplanar points?
No. A trinagle does not require four points, three are sufficient. And any three points, if they are not colinear, must be coplanar.
If four points are coplanar then they are also collinear?
not necassarily
Which is determined by four non-coplanar points?
space
What is determined by four non-coplanar points?
life
Four points are always coplanar if?
all of them are collinear they lie in the same plane
Is it true that the four coplanar points determine three unique plane?
No. If the four points are coplanar, they determine only one plane!
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.
4 points are always coplanar?
Three points are, but not four.
Does a line contain four non-coplanar points?
No, a line cannot contain four non-coplanar points. By definition, coplanar points are points that lie in the same plane, and any three points determine a plane. Since a line consists of an infinite number of points that are linear, any additional point beyond two points on a line will not be able to create a non-coplanar arrangement with those already on the line. Thus, four points on a line must be coplanar.
A triangle is a figure formed by three segments and four coplanar points?
No. A trinagle does not require four points, three are sufficient. And any three points, if they are not colinear, must be coplanar.
A line and a point not on the line are never coplanar?
No, they always are From Wikipedia.org, "The World's Encyclopedia" when I searched coplanar In geometry, a set of points in space is coplanar if the points all lie in the same geometric plane. For example, three distinct points are always coplanar; but four points in space are usually not coplanar. Since 3 points are always coplanar. A point and line are always coplanar
If four points are coplanar then they are also collinear?
not necassarily
Which is determined by four non-coplanar points?
space
If four points are collinear are they also coplanar.?
Yes, they are.
What is determined by four non-coplanar points?
life
If four points are collinear they are also coplanar.?
Yes, they are.
