infinite
You can have an infinite number of planes passing through three collinear points.
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
three
three
10!
Three points can lie in more than one plane if they are not collinear. If the three points are non-collinear, they define a unique plane, but if they are collinear, they can lie on infinitely many planes that contain that line. Additionally, if you consider different orientations or positions of planes that intersect the line formed by the collinear points, these also contribute to the existence of multiple planes. Therefore, the arrangement and relationship of the points determine how many planes can contain them.
Only one if they are non-collinear. An infinite number if they are collinear.
Exactly one.
Exactly one.
Just one plane.
There will always be a single plane through all three points.
If the points are collinear, that means there's only one straight line. An infinite number of different planes can be drawn that contain one straight line.