True.
Yes, four collinear points are also coplanar. Collinear points lie on the same straight line, and any set of points that includes at least three points can be contained within a plane. Therefore, since collinear points can be defined within a single plane, four collinear points must be coplanar.
Three coplanar points are always collinear if they lie on a single straight line. However, if they do not lie on the same straight line, they are not collinear. Thus, coplanar points can be either collinear or non-collinear, but they cannot be sometimes collinear; the relationship is definitive based on their arrangement.
Three or more points are collinear if they are all in the same straight line. They are non collinear if at least one of them is not on the same line as the rest. Four or more points are coplanar if they are all in the same plane. They are non coplanar if at least one of them is not on the same plane as the rest.
Yes. Three co-linear points define a line, and therefore also lie on a plane, but those three points do not necessarily define only one plane. You need three points, not co-linear, to uniquely define a plane. See Related Links below for more information.
Collinear points are three or more points lying on the same line.Non-collinear point are when less than three (not including three) points lie on a line.
No but they are always coplanar.
no.
Yes.
Yes.
Yes, four collinear points are also coplanar. Collinear points lie on the same straight line, and any set of points that includes at least three points can be contained within a plane. Therefore, since collinear points can be defined within a single plane, four collinear points must be coplanar.
Not necessarily. Coplanar means that points lie on the same plane whereas collinear means that points lie on the same line. Points on a plane do not necessarily lie along the same line.
Three coplanar points are always collinear if they lie on a single straight line. However, if they do not lie on the same straight line, they are not collinear. Thus, coplanar points can be either collinear or non-collinear, but they cannot be sometimes collinear; the relationship is definitive based on their arrangement.
Three or more points are collinear if they are all in the same straight line. They are non collinear if at least one of them is not on the same line as the rest. Four or more points are coplanar if they are all in the same plane. They are non coplanar if at least one of them is not on the same plane as the rest.
Two points (which must lie on a line) and the third point NOT on that line.
Is false
6*5/2 = 15.
Yes. Three co-linear points define a line, and therefore also lie on a plane, but those three points do not necessarily define only one plane. You need three points, not co-linear, to uniquely define a plane. See Related Links below for more information.