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Q: How many points may a line contain?

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Yes and they are the end points

yes, it may be the two plane intersect at one line or the two planes are coincident.

If it is irregular enough, it may have not a single line of symmetry.

3 coplanar points may or may not be collinear. 3 collinear points must be coplanar.

Normally just the the one which is in the middle of the line segment

Related questions

Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.

Yes and they are the end points

If the line is straight, then only one line may connect two points.

Not enough information. Collinear means the points are on the same line. If you have any three points, they may, or may not, be on the same line.

None. In conventional geometry, any intersection of two planes defines a line, which is an infinite number of points. Many planes may intersect along a single line, or any pair of planes may intersect creating a unique line, but however they intersect, the number of shared points is infinite. If the the planes do not intersect (if they are parallel), then they share zero points.

Yes. Infinitely may points.

In Euclidean geometry each line contains a minimum of an infinite number of points. In projective geometry, though, a line may have as few as two points.

One would say that this is the definition of a line, however, your question says "A straight path of points" and a line only have one point but no end. So it may be a line or may be considered infinite points.

Two points. These may coincide if the line is a tangent to the sphere.

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.

yes

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.

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