Nonee !
There will always be a single plane through all three points.
Only one if they are non-collinear. An infinite number if they are collinear.
I would say that there are an infinite number of planes that can pass through a pair of skew lines. In order to find the equation of a plane, all you need is three points. take two points off of one line and one point off of the other line and you should be able to derive the equation of a plane. Since the number of points on a line is infinite, an infinite number of planes can be derived.
No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.
If 2 points determine a line, then a line contains infinitely many planes.
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
I have a feeling that I'm wrong but i guess that 2 planes can pass through 2 points
infinite
Nonee !
Infinitely many planes.
three
One.exactly one
Only one.
three
Exactly one.
Given any two points, there are infinitely many coplanar circles that can go through the two points. And then each circle can be rotated through infinitely many planes about the straight line joining those two points. So as stated, there is not the slightest hope of pinning down an answer.