A unique plane is defined by three non-collinear points. This means that the points must not all lie on the same straight line. If the three points are collinear or if only two points are given, they do not suffice to define a unique plane. Thus, the key restriction is that the three points must be non-collinear.
2
4 points define a plane.
No, 2 points define a line, 3 points define a plane.
No, two points define a line. It takes three points to define a plane.
It can allow you to define shapes but that is not quite the same thing as an object.
3
2
Two.
Three.
The two foci are necessary to define the location of an ellipse, but the shape depends on the eccentricity, which is related to the lengths of the two axes.
4 points define a plane.
No, 2 points define a line, 3 points define a plane.
No, two points define a line. It takes three points to define a plane.
2 points
To create a plane, infinitely many. But to uniquely define one, 3 are enough.
To determine the location of an earthquake's epicenter, a minimum of three location data points from seismograph stations is needed. Each station measures the time it takes for seismic waves to reach it, allowing for triangulation. By calculating the distances from each station to the epicenter based on these time differences, the intersection point of the three circles drawn from the stations indicates the epicenter's location.
It can allow you to define shapes but that is not quite the same thing as an object.