4+4
Definition of Coplanar points: Coplanar means that the points are on the equal plane. Plane is a two-dimensional object, with as such is a bit more complicated.Collinear,line,plane and point are the related terms of coplanar.Points that are on the same plane. 2 points are alwayscoplanar...3 points are always coplanar...4 points are sometimes coplanar.
Yes. On any straight line you can find an infinite set of 4 points which are collinear.
connect 4
A Quadrigon is a polygon of 4 points (no 3 of which are collinear) and 4 lines spanned between the 4 points in such a way that each line connects only 2 of the 4 points and each point is the intersection of just 2 of the 4 lines. This figure is also sometimes called a Tetragon. See: http://chrisvantienhoven.nl/quadrigon-objects.html.
5 its 4
exactly nine planes! * * * * * I would have said 4 - corresponding to the four faces of a tetrahedron. Of course, non-collinear does not mean non-coplanar so all four points could be in the same single plane!
4+4
Definition of Coplanar points: Coplanar means that the points are on the equal plane. Plane is a two-dimensional object, with as such is a bit more complicated.Collinear,line,plane and point are the related terms of coplanar.Points that are on the same plane. 2 points are alwayscoplanar...3 points are always coplanar...4 points are sometimes coplanar.
Yes. On any straight line you can find an infinite set of 4 points which are collinear.
Three points are, but not four.
As defined by Math Open Reference: collinear points are points that lie on the same line. Any series of points with a yvalue of 4, for example, will be collinear since they lie on the same line. Lines formed by collinear points can have any slope and be located anywhere on a co-ordinate plane. The Math Open Reference link shows a working visual example of collinear points.
connect 4
Four points can produce a polynomial of at most the third order - a cubic. It is, of course, possible that the 4 points are collinear.
Take the 4 corners (vertices) of any 4-sided figure (quadrilateral). Draw the quadrilateral and its diagonals.
A Quadrigon is a polygon of 4 points (no 3 of which are collinear) and 4 lines spanned between the 4 points in such a way that each line connects only 2 of the 4 points and each point is the intersection of just 2 of the 4 lines. This figure is also sometimes called a Tetragon. See: http://chrisvantienhoven.nl/quadrigon-objects.html.
4*3/2 = 6 lines.