Question

Collinear points are not necessarily coplanar.. true or false

Answer 1

The given statement is a false statement.

Explanation:

Collinear Points--

Two or more points are said to be collinear if they lie on a straight line.

Coplanar--

Set of points are said to be coplanar if they lie on the same plane.

If the set of points are collinear then we may get a line such that it will contain all these points and as we know that line always lie in a plane also there may be infinite number of planes which may contain the same line.

So, all the points on the line will also lie in the same plane.

Yes, collinear points are necessarily coplanar.

Answer 2

I believe the correct answer is true. Collinear points are not necessarily coplanar. Points are considered to be collinear when the points lie on a single line. They are considered to be coplanar when these points are located on the same plane. It is possible that collinear points are not coplanar when these points on the line are not on the same plane. For instance, the line formed by the points is perpendicular to a plane so it is possible that only a point can be found in the plane or no points can be found in the plane. If points are collinear, then it does not follows that they are coplanar.