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The intersection of 2 non-parallel planes is always a line.

The intersection of 3 planes doesn't have to be a line, but it can be. If it is,

then there are an infinite number of other planes that can also intersect those

three along the same line.

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Q: Could the intersection of 3 planes be a line?
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Three planes that intersect in a point?

The intersection of three planes is either a point, a line, or there is no intersection if any two of the planes are parallel to each other. This tells us about possible solutions to 3 equations in 3 unknowns. There may be one solution, no solution, or infinite number of solutions.


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