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Three Dimensions
Three Dimensional
Three Dimensional Space

The property of the space in which we live and move that indicates motion can take place in three mutually perpendicular directions. This is often expressed with three-dimensional coordinates.

Formally, saying a space has three dimensions means that you can find three vectors in the space for which none is a linear combination of the other two. In addition, in any set of four vectors one of them can be written as a linear combination of the other three.

 

 

 

See also

Zero dimensions, two dimensions, three dimensions, n dimensions, multivariable calculus

 


  this page updated 19-jul-17
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
Copyright © 2000 by Bruce Simmons
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NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes