if a line is in a plane does that mean that all the points are in the plane or at least 1 point?
A line AB is in plane q and AB is perpendicular to plane p. Are planes p and q perpendicular?
A line AB is in plane q and AB is perpendicular to plane p. Are planes p and q perpendicular?
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I believe a line being in a plane means that all points are in the plane.
if AB is perpendicular to plane p, then it is the normal vector to plane p. I would think that would mean the planes are also perpendicular.
First picture the unique plane that the line makes (by being perpendicular to it), then take a piece of paper (or you can just imagine it if you can) and just align the paper with the line. All possible planes that go through that line can be found by rotating that paper around the line, no matter what, the plane should always be perpendicular to the other.
if AB is perpendicular to plane p, then it is the normal vector to plane p. I would think that would mean the planes are also perpendicular.
First picture the unique plane that the line makes (by being perpendicular to it), then take a piece of paper (or you can just imagine it if you can) and just align the paper with the line. All possible planes that go through that line can be found by rotating that paper around the line, no matter what, the plane should always be perpendicular to the other.
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if a line is on aplane, all points on the line are on the plane.
p and q are perpendicular
p and q are perpendicular
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All the points
If it just was a point it would cross plane AB
If it just was a point it would cross plane AB