There will always be a single plane through all three points.
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.
There are 56 such planes.
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.
No, the two planes intersect at a line, which is an infinite number of points.
You can have an infinite number of planes passing through three collinear points.
three
three
Infinitely many planes.
One.exactly one
Only one.
There will always be a single plane through all three points.
Exactly one.
just one
Only one plane can pass through 3 non-collinear points.
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
false