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Coplanarity is equivalent to the statement that the pair of lines determined by the four points are not skew, and can be equivalently stated in vector form as
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∙ 15y ago
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Is 3 points coplanar colinear?
3 coplanar points may or may not be collinear. 3 collinear points must be coplanar.
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.
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 collinear they are also coplanar.?
Yes, they are.
If four points are collinear are they also coplanar.?
Yes, they are.
Which is determined by four non-coplanar points?
space
If four points are coplanar then they are also collinear?
not necassarily
What is determined by four non-coplanar points?
life
