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There are 10 distinct planes. Each point p1, p2, p3, p4, p5 determines 10 lines: m12, m13, m14, m15, m23, m24, m25, m34,m35, m45 and, therefore 10 planes: p123, p124, p125, p134, p135, p145, p234, p235, p245, p345

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Q: If no four of five distinct points are coplanar how many distinct planes are formed?
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Related questions

Are all points of a cube coplanar?

Individual points on one side of the cube are coplanar. Points on one side might not nessasarily be coplanar with points on another side. The corners of a cube are exactly coplanar to three planes, but not all planes of the cube. In fact, no point on the cube is coplanar to all other points on the cube.


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Non-coplanar lines refer to points operating or showing in different planes. None of the points are in the same plane.


A line and a point not on the line are never coplanar?

No, they always are From Wikipedia.org, "The World's Encyclopedia" when I searched coplanar In geometry, a set of points in space is coplanar if the points all lie in the same geometric plane. For example, three distinct points are always coplanar; but four points in space are usually not coplanar. Since 3 points are always coplanar. A point and line are always coplanar


A line that intersects two coplanar lines at two distinct points is called what?

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A triangle is a figure formed by three segments and four coplanar points?

No. A trinagle does not require four points, three are sufficient. And any three points, if they are not colinear, must be coplanar.


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.


Two coplanar angles that have a common side and a common vertex but no common interior points?

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What is the answer of non-coplanar points?

non-coplanar points


What are non coplanar points?

Coplanar Points are points that lie on the same line.


Is 3 points coplanar colinear?

3 coplanar points may or may not be collinear. 3 collinear points must be coplanar.


What are non-coplanar lines?

In Euclidean Geometry, two non-coplanar lines are two lines in 3-dimensional space for which no single plane contains allpoints in both lines. For any two lines in three dimensional space, there is always at least one plane that contains all points in one line and at least one point in the other line. But there is not always (in fact it's quite rare) that any plane will contain all points in both lines. When it happens, there is only one such plane for any two distinct lines. Note that, any two lines in 3-dimensional space that intersect each other mustbe coplanar. Also, any two lines in 3-dimensional space that are parallel to each other must also be coplanar. So, in order to be non-coplanar, two lines in 3-dimensional space must a) not intersect each other at any point, and b) not be parallel to each other. (As it turns out, this dual condition is not only necessary, but sufficient for non-coplanarity.) Also note that, as a test for coplanarity of two lines, you need only test two points on each line, for a total of four points, because all points on a single line are, by definition, on the same plane. In fact, all you really have to do is test a single point on one line against three other points (one on the same line and two on the other line), because, by definition, any three points in 3-dimensional space are on the same plane. For example, consider any two distinct points on line m (A and B), and any two distinct points on line l (C and D). Points A and B are obviously coplanar because they are colinear (in fact, they are coplanar in the infinite number of planes that contain this line). Point C on line l is also coplanar with points A and B, because by definition, any 3 non-colinear points in 3-dimensional space define a plane (however, if point C is not on line m, the number of planes that contain all three points is immediately reduced from infinity to one). So the coplanarity test for the first three points is trivial - they are coplanar no matter what. However, it is not at all certain that point D will be on the same plane as points A, B, and C. In fact, for any two random lines in 3-dimensional space, the probability that the four points (two on each line) are coplanar is inifinitesimally small. But, if the fourth point, the one not used to define the plane, is nevertheless coplanar with the three points that define the plane, then lines l and m are coplanar. Note that, though I specified that points A and B on line m must be distinct, and that points C and D on line l must be distinct, I did not specify that C and D must both be distinct from both A and B. That is because, if, for example, A and C are the same (not distinct) point, then, obviously, lines m and l intersect, at point A, which is the same as point C. If this is the case, then the question of whether D is on the same plane as A, B, and C is trivial, because you really only have 3 distinct points, and any three distinct points alwaysshare a plane. That is why intersecting lines (lines that share a single point) are always coplanar. But you're asking about non-coplanar lines. So, basically, if any point on either of the two lines is not coplanar with the other three points (one on the same line and two on the other line), then the lines are non-coplanar.


What is coplanar?

Points that are coplanar are on the same plane.