Three non-collinear points always define exactly one and only one plane.
That's why a 3-legged table or chair never wobbles.
Collinear points are points that lie on the same line, while coplanar points are points that lie on the same plane.
They are lines or points that lie on the same plane. Remember 3 or more points are collinear if they lie on the same line. IF those lines lie on the same plane they are coplanar.
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.
-lie in the same plane -are collinear
yes
Collinear points are points that lie on the same line, while coplanar points are points that lie on the same plane.
They are lines or points that lie on the same plane. Remember 3 or more points are collinear if they lie on the same line. IF those lines lie on the same plane they are coplanar.
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.
lie on the same plane and are collinear
-lie in the same plane -are collinear
yes
Collinear pointsPoints that lie on the same line are called collinear points. If there is no line on which all of the points lie, then they are non collinear points.
Yes. In fact any three points that are not collinear define a plane and therefore MUST lie on a plane.
Collinear pointsPoints that lie on the same line are called collinear points. If there is no line on which all of the points lie, then they are non collinear points.
Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.
A plane is defined by at least three non-collinear points. While an infinite number of points can exist within a plane, the minimum requirement to determine a unique plane is three points that do not all lie on the same straight line.