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If two different planes intersect then they intersect at one and only one line?
Yes, if two different planes intersect in three-dimensional space, they do so along one and only one line. This is because the intersection of the two planes consists of all points that satisfy the equations of both planes simultaneously, which geometrically forms a line. If the planes are parallel, they do not intersect at all, and if they are coincident, they overlap completely, but in the case of two distinct planes, the line is the unique intersection.
When two planes intersect they intersect in one and only one?
When two planes intersect, they do so along a line, which is the locus of points common to both planes. This means they do not intersect at just one point but rather along an entire line. If the two planes are parallel, however, they will not intersect at all. Thus, the statement is incorrect; they intersect in a line, not a single point.
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.
If two different planes intersect then they intersect at one and only one line?
Yes, if two different planes intersect in three-dimensional space, they do so along one and only one line. This is because the intersection of the two planes consists of all points that satisfy the equations of both planes simultaneously, which geometrically forms a line. If the planes are parallel, they do not intersect at all, and if they are coincident, they overlap completely, but in the case of two distinct planes, the line is the unique intersection.
When two planes intersect they intersect in one and only one?
When two planes intersect, they do so along a line, which is the locus of points common to both planes. This means they do not intersect at just one point but rather along an entire line. If the two planes are parallel, however, they will not intersect at all. Thus, the statement is incorrect; they intersect in a line, not a single point.
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.
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.
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.
If two planes intersect do they intersect in exactly one plane?
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.
How many Two planes intersect in exactly?
Two distinct planes will intersect in one straight 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.
If two planes intersect than they intersect at exactaly one point?
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
Two planes can intersect on exactly one point?
No, 2 planes may only intersect at a line, a plane, or not at all. THREE planes may intersect at a point though...
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.
