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Earn +20 ptsQ: Can two planes intersect at one unique line?
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When two planes intersect do they intersect in a straight line?
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
Can three planes intersect in one line?
If I understand the question, and if I am not mistaken, three or any number number of planes can intersect in one line.
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.
Can two planes in three-dimensional space intersect at one point?
No, they intersect at a line.
Do two distinct planes intersect in a pair of lines?
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
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