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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.
