3 non-coplanar (pairwise) lines for 3 dimensional space.
depend how many points are them
Two distinct (different) points are needed to determine a line.
2
In N-dimensional space, an infinite number of planes can be perpendicular to a given line at a specific point on that line. Each plane can be defined by selecting a direction that is orthogonal to the direction of the line, and since there are infinitely many such directions in the (N-1) dimensional space orthogonal to the line, it results in infinitely many perpendicular planes.
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.
Two are enough, if not coplanar.
depend how many points are them
Coplanar lines can intersect an infinite amount of times.
Two distinct (different) points are needed to determine a line.
Two
Infinitely many. The trajectory of a typical space mission may be adjusted several hundred times and all these changes need to be accommodated in the set of points.
3
2
In N-dimensional space, an infinite number of planes can be perpendicular to a given line at a specific point on that line. Each plane can be defined by selecting a direction that is orthogonal to the direction of the line, and since there are infinitely many such directions in the (N-1) dimensional space orthogonal to the line, it results in infinitely many perpendicular planes.
You need two points to determine a line. A single point can have an infinite number of lines passing through it.
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.
If 2 points determine a line, then a line contains infinitely many planes.