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parallel planes
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∙ 13y ago
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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.
How do you determine the angle between two planes if the planes intersect at a point?
The angle between two planes when the planes intersect at a point is the acute angle fixed by the normal vectors of the planes.
Can two horizontal planes intersect?
No, horizontal planes run parallel to each other, so they do not intersect, but two vertical planes can intersect. Imagine the pages of a books as several planes. When you stand the book up, they are all vertical, but they all intersect at the book spine.
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 a geometric solid with two surfaces and one that is curved?
There are many options. Amongst them: An ellipsoid (including a sphere) intersected by two planes which do not, themselves intersect within the shape; A paraboloid intersected by two planes which do not, themselves intersect within the shape; A cone intersected by two planes which do not, themselves intersect within the shape; A semi-hyperboloid intersected by two planes which do not, themselves intersect within the shape; A toroid (doughnut) intersected by two planes which do not, themselves intersect within the shape; An elliptic prism intersected by two planes which do not, themselves intersect within the shape. The last of these would include a cylinder.
Do two planes intersect at a point or a line?
Two planes intersect at a line
If two planes intersect what is their intersection called?
A line. When two planes intersect, their intersection is a 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.
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.
How many Two planes intersect in exactly?
Two distinct planes will intersect in one straight line.
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 do you determine the angle between two planes if the planes intersect at a point?
The angle between two planes when the planes intersect at a point is the acute angle fixed by the normal vectors of the planes.
What occurs when two planes intersect?
The intersection of two planes is a line.
What do you call two planes that intersect?
Two planes that intersect are simply called a plane to plane intersection. When they intersect, the intersection point is simply called a 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 two horizontal planes intersect?
No, horizontal planes run parallel to each other, so they do not intersect, but two vertical planes can intersect. Imagine the pages of a books as several planes. When you stand the book up, they are all vertical, but they all intersect at the book spine.
Two planes can intersect in two lines?
No.
