Orthogonal
Pronunciation: /ɔrˈθɒ.gə.nl/ Explain
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 Manipulative 1  Orthogonal Lines Created with GeoGebra. 

Two lines are orthogonal if they are
perpendicular
at the point of
intersection.
Two curves are orthogonal at a point of
intersection if they are perpendicular at the point of intersection.

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 Manipulative 2  Orthogonal Curves Created with GeoGebra. 

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 Manipulative 3  Orthogonal Vectors Created with GeoGebra. 

Two
vectors
are orthogonal if the inner product of
the vectors is zero. When graphing orthogonal vectors, the vectors
are perpendicular to each other.

Two
square matricies
of the same
dimensions
are orthogonal
if the product of the matrices is the identity matrix. See figure 1.

Figure 1: Orthogonal matrices 
References
 McAdams, David E.. All Math Words Dictionary, orthogonal. 2nd Classroom edition 201501084799968. pg 132. Life is a Story Problem LLC. January 8, 2015. Buy the book
Cite this article as:
McAdams, David E. Orthogonal. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/o/orthogonal.html.
Image Credits
Revision History
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
9/5/2018: Removed broken links, updated license, implemented new Geogebra protocol, implemented new markup. (
McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (
McAdams, David E.)
12/21/2009: Added "References". (
McAdams, David E.)
10/9/2008: Initial version. (
McAdams, David E.)