Two distinct (different) points are needed to determine a line.
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3 points which do not all lie on the same line.
A plane can be determined by three points, as long as the three points do not lie along a single line.
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2 points determine a line.
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.