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Two distinct (different) points are needed to determine a line.
A plane can be determined by three points, as long as the three points do not lie along a single line.
If 2 points determine a line, then a line contains infinitely many planes.
a line has to have at least 2 points.a plane has to have at least 3 points.______________It takes two points to define a unique line in Euclidean space. But every line and every line segment contains infinitely many points. The same is true for planes in Euclidean space. You need at least 3 points to define a unique plane, but every plane containes infinitely many points and infinitely many lines or line segments.
To determine a trajectory line, only two points are needed. These two points can be used to calculate the slope, which represents the direction and angle of the trajectory. Additional points can be used to further refine the trajectory line and estimate its accuracy.