The intersection of 2 non-parallel planes is always a line.
The intersection of 3 planes doesn't have to be a line, but it can be. If it is,
then there are an infinite number of other planes that can also intersect those
three along the same line.
a line divides a plane into three disjoint sets. The three disjoint sets are: 1.greater than the line. 2.less than the line. 3. the line itself. in rectangular co-ordinate system, the Y-axis divides the plane as x>0,y>0 x=o&y>0 x<0&y>0 all the above ones are disjoint. since intersection of disjoint sets is null set, therefore,quadrant 1 intersection quadrant 2 is null.
There are 3 planes of symmetry in a rectange.
A cube has three planes of symmetry.
They could line up in 3! = 3*2*1 = 6 ways.
If you were to have 3 points on the same line, then you would actually not be determining a plane, because there are infinitely many planes that can intersect a given line. But if you have 3 points in the form of the points (or vertices) of a triangle, then you determine a plane in the sense that there is only one possible plane upon which that triangle can be drawn (not including a degenerate triangle, which is equivalent to a line).
The intersection of three planes is either a point, a line, or there is no intersection if any two of the planes are parallel to each other. This tells us about possible solutions to 3 equations in 3 unknowns. There may be one solution, no solution, or infinite number of solutions.
Yes, there are three ways that two different planes can intersect a line: 1) Both planes intersect each other, and their intersection forms the line in the system. This system's solution will be infinite and be the line. 2) Both planes intersect the line at two different points. This system is inconsistent, and there is no solution to this system. However, both planes will still be intersecting the same line, albeit at different locations on the line. 3) Both planes intersect each other, but their intersection does NOT form the line in the system. However, if the line in the system intersects the planes' intersection, then they will all intersect a single point. The solution will be finite and be a single point. There are also 3 ways two different planes WON'T both intersect a line. 1) The two planes and the line are all parallel to each other, and none of them intersect each other. 2) The line is parallel to one plane, but intersects the other plane. 3) The same as #2, but now the line is parallel to the other plane and intersects the one plane.
Two planes intersecting could look like an X and then a third one could go right down the middle.
6
It is the set of points, in 3-dimensional space, defined by the intersection of two planes which define faces of the shape.
The points of intersection are: (7/3, 1/3) and (3, 1)
yes at different altitudes
no 2 points form a line, 3 points form a plane
Point of intersection is where the point where 2 lines or a line and a plane meet, or in a 3-dimensional space three planes meet, or any other graphs that intersect in a point.Point of concurrency is the intersection point of concurrent lines.In geometry, two or more lines are said to be concurrent if they all pass through a single point.For example, the perpendiculars bisectors of the sides of a triangle are concurrent and they meet at the point of concurrency.So point of intersection may be the same as point of concurrency, but when it comes to examples other than lines, point of intersection is often used. When it comes to just lines, either one is ok.
-5
An edge is a concept that applies to 3-dimensional objects and is the intersection of two planes that form boundaries of the object. None of these apply to a circle so the answer must be none.
It's 3. I got it right on the quiz.