Four non-coplanar points define a space, but can they be used to form two intersecting planes? Explain why or why not.

Yes because it takes 3 noncolinear points to form a plane so there you have one plane. You add the last point so that the four points are noncoplanar and you will have four intersecting planes. The points would form a triangular pyramid.

Answered by ew71599 | 2024-06-10

Yes, four noncoplanar points can be used to form two **intersecting **planes. A plane can be defined by any three noncoplanar points, and a fourth noncoplanar point can define a second plane, intersecting with the first. ;

Answered by NormanReedus | 2024-06-18

Four non-coplanar points can be used to form two intersecting planes since any three of the points can define one plane, and different combinations can define another plane. If the two planes are not parallel, they will intersect along a line. Therefore, it is possible for the planes to intersect in space.
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Answered by ew71599 | 2024-12-26