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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.
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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.
Do two planes always intersect at only one point?
No, two planes do not always intersect at only one point. They can either be parallel and not intersect at all, or they can coincide, meaning they lie on top of each other and share all points. If two planes do intersect, they do so along a line, rather than at a single point.
Can two planes only intersect at one point?
Tow planes can intersect eachother in either exactly one point or along a line. I'm new to this, however this answer is straight from my course litterature.
When are two lines in intersecting planes skew?
Each line can either intersect the edge which is common to the two planes at some point or be parallel to it. If the two lines intersect the edge, but at different points, then the lines are skew. If only one of the lines intersects the edge, then again the lines are skew. If neither of them intersect, then the two lines are parallel to the same edge and so they are parallel to one another so not skew.
Two lines only intersect at exactly one point?
Two straight lines, whether they're in the same or different planes, must intersect at either one point or else at no points.
Where do two planes intersect?
In geometry, two planes intersect in a line. The only time this is not true is if the two planes are parallel to each other.
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...
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.
Can two planes intersect in a ray or segment?
Two planes that intersect do that at a line. neither a segment that has two endpoints or a ray that has one endpoint.
Is it true that three planes can intersect in only one point?
The intersection of three planes can be a plane (if they are coplanar), a line, or a point.
Do two planes always intersect at only one point?
No, two planes do not always intersect at only one point. They can either be parallel and not intersect at all, or they can coincide, meaning they lie on top of each other and share all points. If two planes do intersect, they do so along a line, rather than at a single point.
Can two planes only intersect at one point?
Tow planes can intersect eachother in either exactly one point or along a line. I'm new to this, however this answer is straight from my course litterature.
Do two planes intersect in infinitely many points?
No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.
Can 3 planes intersect at only 1 point?
No, they can intersect at infinitely many points.
When are two lines in intersecting planes skew?
Each line can either intersect the edge which is common to the two planes at some point or be parallel to it. If the two lines intersect the edge, but at different points, then the lines are skew. If only one of the lines intersects the edge, then again the lines are skew. If neither of them intersect, then the two lines are parallel to the same edge and so they are parallel to one another so not skew.
Two lines only intersect at exactly one point?
Two straight lines, whether they're in the same or different planes, must intersect at either one point or else at no points.
What is formed by three line segments that intersect only at their end point?
what of a triangle has three line segments that intersect only at their endpoints
