FACTOID # 52: In Botswana, more than one in three adults aged 15-49 are infected with HIV/AIDS.
 
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Encyclopedia > Coplanar

A set of points is said to be coplanar if and only if they lie on the same geometric plane. Three points are always coplanar. In mathematics, a plane is the fundamental two-dimensional object. ...


Other points can be shown to be coplanar by determining that the scalar product of a vector that is normal to the plane and a vector from any point on the plane to the point being tested is 0. In mathematics, the dot product (also known as the scalar product and the inner product) is a function (·) : V × V → F, where V is a vector space and F its underlying field. ... The word vector means carrier in Latin; it is derived from the Latin verb vehere, which means to carry. ... The term normal has many meanings, as listed below. ...


Properties

If three 3-dimensional vectors and are coplanar, and :



Or, the vector resolutes of on and on add to give the original .


External links

MathWorld's entry on "coplanar" (http://mathworld.wolfram.com/Coplanar.html)


  Results from FactBites:
 
Defining a Coplanar Port (468 words)
It is similar to a differential port, but coplanar ports are applied to objects on slot layers (that is, where slots are used in the design).
Coplanar ports should be used in situations where an electric field is likely to build up between two ports.
Note Port numbers for coplanar ports are treated in the following manner: on the layout, you will continue to see the port numbers (instance names) that were assigned to each port when they were added to the layout.
  More results at FactBites »


 

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