Since any two point must be collinear and must, therefore, define a line, the answer is 5C2, the number of combinations of two [points] out of five. This is 5*4/(2*1) = 10
If the points are collinear, the number of possible planes is infinite. If the points are not collinear, the number of possible planes is ' 1 '.
Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.
10!
3
Just one plane.
If the points are collinear, the number of possible planes is infinite. If the points are not collinear, the number of possible planes is ' 1 '.
6*5/2 = 15.
You can have an infinite number of planes passing through three collinear points.
Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.
10!
3
3
3
The points are collinear, and there is an infinite number of planes that contain a given line. A plane containing the line can be rotated about the line by any number of degrees to form an unlimited number of other planes.If, on the other hand, the points are not collinear, then the plane has no wriggle room: it is stuck fast in one place - there can be only one plane containing all the points. Provided they are non-colinear, three points will define a plane.
# 1
Just one 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.