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Noncoplanar points are points that do not lie on the same plane. If you have two rectangles joined together at points CD, then the rectangle at points ABCD have coplanar points but the points EF are not coplanar, that is, they do not lie on the plane defined by ABCD. On the other hand, the points CDEF are coplanar points but points AB are noncoplanar points.
Dr Grips
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What does noncoplanar mean?
Noncoplanar is a term in geometry referring two or more figures, lines, or points that do not all lie in the same plane.
Can two points be noncoplanar?
Any three given points can be joined by a common plane, and any two given points can be joined by a common line and an infinite number of common planes.
What are 2 noncoplanar lines that do not intersect?
skew
Are skew lines coplanar?
Skew lines are noncoplanar; therefore they're not parallel & don't intersect.
The set of all points collinear to two points?
what is The set of all points collinear to two points?
Do four noncoplanar points determine a space?
Yes, they do.
What does noncoplanar mean?
Noncoplanar is a term in geometry referring two or more figures, lines, or points that do not all lie in the same plane.
How many planes are determined by 5 noncoplanar points 3 of which are collinear?
3
What contain at least four noncoplanar points?
A three-dimensional space contains at least four noncoplanar points. An example of this is the vertices of a tetrahedron, which consists of four points that do not lie in the same plane. This arrangement ensures that the points span three dimensions, demonstrating their noncoplanarity. Other examples include points in a cube or the corners of a pyramid.
Can two points be noncoplanar?
Any three given points can be joined by a common plane, and any two given points can be joined by a common line and an infinite number of common planes.
Can three points be noncoplanar?
No, A plane can be drawn through any 3 points. If the 3 points are collinear then they make a line and a plane can contain a line. If the points are noncollinear then they can be used to form the corners of a triangle; all points of a triangle are in the same plane.
Is it possible for parallel lines to be noncoplanar?
no
What are 2 noncoplanar lines that do not intersect?
skew
Can two noncoplanar lines intersect?
yes
What are the two noncoplanar lines that do not intersect?
skew
Two noncoplanar lines that do not intersect?
skew lines
Why isn't it possible for two lines to be noncoplanar?
It is possible.
