Question

Which set of points is not coplanar?

points A, B, E

points A, B, C, E

points B, C, D

points A, B, C, D

Answer 1

In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all. Therefore, the correct answer from the choices listed above is the first option. Points A, B and E are the set of points that are not coplanar. Hope this answers the question.

Answer 2

we know that

Coplanar points are three or more points which lie in the same plane. Remember that a plane is a flat surface which extends without end in all directions. Any three points in 3-dimensional space determine a plane.

case a) points A, B, E

Any group of three points determines a plane

so

The points A,B,E are coplanar

case b) points A, B,C,E

The four points do not belong to the same plane

so

The points A,B,C,E are not coplanar

case c) points B, C, D

Any group of three points determines a plane

so

The points B, C, D are coplanar

case d) points A,B, C, D

The base of the pyramid is a flat surface, the four points lie in the same plane

so

The points A,B, C, D are coplanar

therefore

the answer is the option

points A, B, C, E are not coplanar