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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.
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If two planes intersect what is their intersection called?
A line. When two planes intersect, their intersection is a line.
Can a given line be in two planes?
Two planes intersect at a line. The line where they intersect pertains to both planes. In the same manner, if infinitely many planes intersect each other at the same line, then that line pertains to the infinitely many planes.
How many Two planes intersect in exactly?
Two distinct planes will intersect in one straight line.
When two planes intersect what do they form?
A line
If two planes intersect then their intersection is a line Two planes are intersecting?
yes
