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What is the intersection of two distinct planes?
The intersection of two distinct planes is a line. The set of common points in the line lies in both planes.
Why do you only need to find two common points to name the intersection of two distinct planes?
Answer: the name of a line confers to only 2 points and the intersection of two planes is a line. (updated)
How many planes can possibly contain the three non collinear points?
There will always be a single plane through all three points.
How many planes will contain 3 noncollinear points?
1, exactly 1 plane will
If j and k are intersecting lines A and B are points on j and C and D are points on k how many planes contain points A B C and D?
exactly one
What is the intersection of two distinct planes?
The intersection of two distinct planes is a line. The set of common points in the line lies in both planes.
Is it tue that it two planes intersect their points of intersection are finite?
No.
What is intersection of two planes?
The intersection of two planes in three-dimensional space is typically a line, provided the planes are not parallel. If the planes are parallel, they do not intersect at all. If the two planes are coincident, they overlap completely, resulting in an infinite number of intersection points. The line of intersection can be found by solving the equations of the two planes simultaneously.
Why do you only need to find two common points to name the intersection of two distinct planes?
Answer: the name of a line confers to only 2 points and the intersection of two planes is a line. (updated)
How many planes can possibly contain the three non collinear points?
There will always be a single plane through all three points.
How many planes contain the same three collinear points?
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
How many planes will contain 2 points?
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
How many planes can contain two given points?
If 2 points determine a line, then a line contains infinitely many planes.
Is a line is defined to be the intersection of two planes?
A line is infinite but a line segment has end points and a midpoint
Do two planes always intersect in a single point?
No, two planes do not always intersect in a single point. They can either be parallel and never intersect, or they can coincide, meaning they are the same plane and thus intersect along an infinite number of points. If they do intersect, the intersection will be a line, not just a single point.
How many planes will contain three non colliear points?
One.
How many planes will contain three non-collinear points?
Exactly one.
