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

Answer:

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

Step-by-step 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

$\frac{x}{1}+ \frac{y}{1}+ \frac{z}{1} =1\\\\x+y+z=1$

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