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Do four noncoplanar points determine a space?

Updated: 8/21/2019
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6y ago

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Yes, they do.

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6y ago
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Q: Do four noncoplanar points determine a space?
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Is it true that the four coplanar points determine three unique plane?

No. If the four points are coplanar, they determine only one plane!


Can four noncoplanar points be used to form two intersecting?

Since the question is unfinished, I'll assume the most obvious completion: "planes." Yes, a triangular pyramid is composed of 4 non-co-planar points which form 4 intersecting planes.


Which is determined by four non-coplanar points?

space


When are four points in a plane?

Any 4 points can lie in a plane, 3 points determine a plane and just take the 4th to be say the origin.


How many points are necessary to define a line?

In Newtonian three dimensional space, two points can create a line, three to "define" it. In Einsteins "time-space", a minimum of four points are required.


How do you place four points equidistant from each other?

you cannot do this on the plane. try proving this yourself. but a regular tetrahedron in space for example is an example where there four points equidistant from each other.


What is range of four probe?

The range of four probes gives you the material to test the probe. The best way to determine the optimum choice of the probe tip for specifications for a given material is the four points.


How do you determine maximum dry density for sand?

Follow ASTM-D698 A or ASTM-D1557 AorB for a modified proctor. Determine at leats four points at different moistire content and plot a curve.


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


How many common points for intersection of four lines?

- If you're working on a single sheet of paper (2-D), then you can draw four lines that intersect in 1, 2, 3, 4, 5, or 6 points. - If in 3-D space, then you can also draw four lines that don't intersect at all.


What do all one dimensional and two dimensional objects lie in?

They could need three dimensional space. Although points are 1-dimensional objects, it is easy to have four points that need 3-d space: for example the vertices of a tetrahedron (triangular pyramid). Similarly, skew line will need 3-d space.


Passing a stopped school bus will result in how many points?

As far as I know, four points is the norm in most states. States are, however, free to determine how many points they wish to assess for it, so it may vary between states.