A minimum of 2, but an infinite number of planes can intersect at the same line.
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Yes they can. In fact, infinitely many planes can intersect in one line, at least theoretically.
No. Two planes may be parallel and so may not intersect. Also, any line is the intersection of infinitely many planes, not just two.
-- An infinite number of different planes can intersect the same line. -- The same line can lie in an infinite number of different planes. -- An infinite number of different lines can intersect the same plane.
A line segment can be defined as having two endpoints
an infinite number; no limit