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Q: How many lines are intersected when two planes intersect?
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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.


How many line can intersect a point?

A point can be intersected by infinitely many lines. Two points intersect in only one line. Three points either intersect in a line or not at all. This is only considering two dimensions.


What solid has three faces two edges and no vertices?

Many solids. Some are: A sphere intersected by two planes, An ellipsoid intersected by two planes, Any blob intersected by two planes, A toroid (doughnut) with a wedge removed, A double-cone intersected by two planes, A cylinder.


How many planes can pass through line?

-- An infinite number of different planes can intersect the same line. -- The same line can lie in an infinite number of different planes. -- An infinite number of different lines can intersect the same plane.


If to lines intersect how many planes contain both of the line?

Two intersecting straight lines uniquely define one single plane.


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.


How many Two planes intersect in exactly?

Two distinct planes will intersect in one straight line.


Do two planes intersect in infinitely many points?

No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.


How many planes intersect to form a line?

A minimum of 2, but an infinite number of planes can intersect at the same line.


How many planes can intersect at a point?

1


Can 3 planes intersect at only 1 point?

No, they can intersect at infinitely many points.


How many times do parallel lines intersect?

parallel lines never intersect.