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Can 3 planes intersect at only 1 point?
No, they can intersect at infinitely many points.
Do two planes intersect in infinitely many points?
No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.
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.
How many lines are intersected when two planes intersect?
2
Do 2 planes intersect infinitely many points?
They need not intersect at all, but if they do, it will be along a straight line and so comprise infinitely many points.
Can 3 planes intersect at only 1 point?
No, they can intersect at infinitely many points.
Do two planes intersect in infinitely many points?
No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.
How many planes contain the same three collinear points?
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same 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.
Can three planes all intersect in the same line?
Yes they can. In fact, infinitely many planes can intersect in one line, at least theoretically.
Are there always Two planes intersect in a line?
No. Two planes may be parallel and so may not intersect. Also, any line is the intersection of infinitely many planes, not just two.
What is the two distinct nonparallel planes?
There is no "the" since there are infinitely many non-parallel planes. Two non-parallel planes are planes that intersect in a line.
Do two lines intersect at a single point?
Two lines can intersect at none, one or infinitely many points.
How many different planes may share exactly one point?
None. In conventional geometry, any intersection of two planes defines a line, which is an infinite number of points. Many planes may intersect along a single line, or any pair of planes may intersect creating a unique line, but however they intersect, the number of shared points is infinite. If the the planes do not intersect (if they are parallel), then they share zero points.
How many planes can contain two given points?
If 2 points determine a line, then a line contains infinitely many planes.
How many planes could pass through three points in the same straight line?
Infinitely many planes.
