How come if three points are collinear then infinitely many planes go through them?
Stacey Warren - Expert brainly.com
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Hi again. If three points are collinear then we can draw a line that goes through them. And this line can be contained by a plane - infinitely many planes, in fact. Here's a drawing.
This horrifying rendition of a supernova is actually the following: the point is the line from the side, and each of those lines is a plane. Since you can basically make a circle out of the planes, and we know that there are infinitely many points in a circle, we know there are infinitely many planes that we can draw like this.
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Makes sense? Regardless of my negligible artistic skill?
so does that mean that many planes can all be in one spot? or is it because planes all extend forever that they'd eventually hit those points?
or do they all intersect but can't overlap?
Think about it like this then. What's the intersection of two lines?
Okay. And how many lines can go through a single point?
uhh.. a infinite number of lines
Right. So similarly, the intersection of two planes is a line, and there are an infinite number of planes that can go through a single line. If you ever get confused, kind of downgrade the problem like that.