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Is the statement planes are as long as the longest line it contains true?
Wiki User
∙ 6y ago
Yes, both are infinite in their extent.
Wiki User
∙ 6y ago
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How many planes can contain two given points?
If 2 points determine a line, then a line contains infinitely many planes.
What would serve as a counter example to the statement Two planes intersect in exactly one line?
Two planes do not intersect at all if the planes are parallel in three-dimensional space.
Is a line lies in at least one plane a true statement?
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 in a line?
Yes, the intersection of 2 planes is a line.
How many planes can contain a line and a point on the 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.)
How many planes can contain two given points?
If 2 points determine a line, then a line contains infinitely many planes.
Which line of latitude is the longest and what degree is it?
The equator ... the line that contains every point on Earth with zero latitude ...is the longest parallel.
Can two planes contains the same line?
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.
What would serve as a counter example to the statement Two planes intersect in exactly one line?
Two planes do not intersect at all if the planes are parallel in three-dimensional space.
Is a line lies in at least one plane a true statement?
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.
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.
Do two planes intersect at a point or a line?
Two planes intersect at a line
Two planes intersect in a line?
Yes, the intersection of 2 planes is a line.
Is a line created when two planes intersect?
A line is the intersection of two planes. The angle between the planes is called the "dihedral angle".
How many planes can contain a line and a point on the 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.)
How many planes are determined by three noncollinear?
1 line cause every plane contains atleast 3 or more noncollinear points
Do planes intersect at a point?
No, planes intersect at a line.
