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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.
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 2 points?
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
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 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
How many planes will contain three non colliear points?
One.
How many planes will contain three non-collinear points?
Exactly one.
What is edges in 3d shapes?
It is the set of points, in 3-dimensional space, defined by the intersection of two planes which define faces of the shape.
What is an example of an intersection in math?
The intersection of two or more mathematical objects is the set of all points that are common to all of them. In set theory, that would be the elements in common. In geometry, it would be the set of all points in common. For example, the intersection of two different planes is a line; the intersection of a plane and a cone are the conic sections: circle, ellipse, parabola and hyperbola.
