Noncoplanar is a term in geometry referring two or more figures, lines, or points that do not all lie in the same plane.
skew
Noncoplanar refers to a set of points or lines that do not lie on the same plane. In geometry, if points or lines are noncoplanar, they exist in different spatial dimensions and cannot be contained within a single flat surface. This concept is often applied in three-dimensional space to describe the relationship between various geometric objects.
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
Skew lines are noncoplanar; therefore they're not parallel & don't intersect.
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.
no
skew
yes
skew
To determine if points G, C, and B are noncoplanar, we need to check if they lie on the same plane. If the three points do not lie on a single plane, they are considered noncoplanar. This can be established by examining the vectors formed by these points; if the scalar triple product of the vectors formed by these points is non-zero, then they are noncoplanar. Without specific coordinates or additional information about the points, a definitive answer cannot be given.
skew lines
Yes, they do.
It is possible.
Noncoplanar refers to a set of points or lines that do not lie on the same plane. In geometry, if points or lines are noncoplanar, they exist in different spatial dimensions and cannot be contained within a single flat surface. This concept is often applied in three-dimensional space to describe the relationship between various geometric objects.
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
Noncoplanar lines cannot intersect because they exist in different planes and do not share a common point. However, they can be skew lines, which means they are neither parallel nor intersecting. In three-dimensional space, two lines are only able to intersect if they lie in the same plane. Therefore, it is geometrically impossible for two noncoplanar lines to intersect.
3