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How many planes can possibly contain the three non collinear points?
There will always be a single plane through all three points.
How many planes can pass through one point?
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.
How many planes in a cube pass through three or more vertexes?
There are 56 such planes.
Can two planes in three dimensional space intersect at one point?
No, the two planes intersect at a line, which is an infinite number of points.
Does a rectangular prism have plane symmetry or symmetry about an axis?
I believe it has both. If you draw planes through the middle of opposite sides e.g. top/bottom, left side/right side, front/back, you will get three planes of (refection) symmetry. Also if you draw three lines through those same points, you will get three axes of (rotational) symmetry.
