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Hypothetically, an infinite number of planes.
We humans develop contrived measurements, such as 360 degrees in a circle, but that does not mean there are only 360 possible angles; even subdividing as we do with 60 minutes in a degree, and 60 seconds in a minute, there is no hypothetical smallest fraction of an angle. You could have one-billionth of a degree of an angle to differentiate one plane from another passing through the same point, or one-quadrillionth, or one-googoleth, or one googole-plexeth, ad-infinitum (-eth).
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How many planes can be passed through three points?
Only one if they are non-collinear. An infinite number if they are collinear.
Point A is included in how many different planes?
four.
Do two planes intersect in infinitely many points?
No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.
How many planes in a cube pass through three or more vertexes?
There are 56 such planes.
How many planes can pass through two points?
Nonee !
