If I understand the question, and if I am not mistaken, three or any number number of planes can intersect in one line.
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∙ 14y agoYes they can. In fact, infinitely many planes can intersect in one line, at least theoretically.
No, they intersect at a line.
Two planes do not intersect at all if the planes are parallel in three-dimensional space.
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
Yes they can. In fact, infinitely many planes can intersect in one line, at least theoretically.
No, they intersect at a line.
No, 2 planes may only intersect at a line, a plane, or not at all. THREE planes may intersect at a point though...
No, the two planes intersect at a line, which is an infinite number of points.
The intersection of three planes can be a plane (if they are coplanar), a line, or a point.
yes, three planes can intersect in one point.
Two planes do not intersect at all if the planes are parallel in three-dimensional space.
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
Two distinct planes will intersect in one straight line.
No, two planes do not intersect in exactly one plane unless the planes are exactly overlapping, making one plane. In Euclidean Geometry two planes intersect in exactly one line.
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
Yes, there are three ways that two different planes can intersect a line: 1) Both planes intersect each other, and their intersection forms the line in the system. This system's solution will be infinite and be the line. 2) Both planes intersect the line at two different points. This system is inconsistent, and there is no solution to this system. However, both planes will still be intersecting the same line, albeit at different locations on the line. 3) Both planes intersect each other, but their intersection does NOT form the line in the system. However, if the line in the system intersects the planes' intersection, then they will all intersect a single point. The solution will be finite and be a single point. There are also 3 ways two different planes WON'T both intersect a line. 1) The two planes and the line are all parallel to each other, and none of them intersect each other. 2) The line is parallel to one plane, but intersects the other plane. 3) The same as #2, but now the line is parallel to the other plane and intersects the one plane.