Yes, both are infinite in their extent.
If 2 points determine a line, then a line contains infinitely many planes.
Two planes do not intersect at all if the planes are parallel in three-dimensional space.
The fact is that if you have one straight line, there are an infinite number of planes in which it lies. One can see this by simply rotating the plane around the line. Thus, "a line lies in at least one plane" is a true statement.
Yes, the intersection of 2 planes is a line.
Anything that contains the line must contain every point on the line, so "a point on the line" doesn't give us any more information. You're just asking how many planes can contain the line. Now imagine setting a wood panel down on a tight-rope. How many different ways can it set there before it falls off ? A lot, right ? An infinite number of planes can all contain your line. (And all of its points.)
If 2 points determine a line, then a line contains infinitely many planes.
The Equator is the longest line of latitude and it is at 0 degrees latitude.
Yes. A line can be the intersection of two planes, or any number of planes. A real-world example would be the central axis (axle) of a paddlewheel on a steamboat, which would be coplanar with all of the planes represented by the individual paddles. A single line is similarly the intersection of perpendicular planes.
Two planes do not intersect at all if the planes are parallel in three-dimensional space.
The fact is that if you have one straight line, there are an infinite number of planes in which it lies. One can see this by simply rotating the plane around the line. Thus, "a line lies in at least one plane" is a true statement.
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.
Yes, the intersection of 2 planes is a line.
Two planes intersect at a line
A line is the intersection of two planes. The angle between the planes is called the "dihedral angle".
Anything that contains the line must contain every point on the line, so "a point on the line" doesn't give us any more information. You're just asking how many planes can contain the line. Now imagine setting a wood panel down on a tight-rope. How many different ways can it set there before it falls off ? A lot, right ? An infinite number of planes can all contain your line. (And all of its points.)
No, planes intersect at a line.
1 line cause every plane contains atleast 3 or more noncollinear points