Question

Tina observes the points on the plane of a paper. What is the minimum number of points required to make a plane

Answer 1

The minimum number of points to make a plane is just 3 points

Answer 2

The minimum number of points required to make a plane is three.

Explanation:

The minimum number of points required to make a plane is three. But the condition is that the three points must be non co linear.

Let us understand this with the help of a diagram. Let there are three points in xyz-plane which are not colinear. The coordinates of points are A(1,0,0),B(0,1,0) and C(0,0,1). From the figure, we have

x-intercept = 1

y-intercept = 1

z-intercept = 1

When we join these points we'' get a plane. The equation of the plane in intercept form is given by

`(x)/(1)+ (y)/(1)+ (z)/(1) =1\\\\x+y+z=1`

Therefore, we can conclude that there should be three non colinear points to make a plane.