A point is a single spot in space. A line is the connection between two points. A plane is the space made up between three or more lines. A plane has infinite lines and therefore infinite points.
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Yes- planes contain infinitely many points and every pair of points in plane determine a line in that plane, so every plane contains infinitely many lines.
Skew lines.
No. Skew lines are lines in different planes that are parallel.
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
They're either parallel lines or skew lines.