Inner Product

Pronunciation: /ˈɪn.ər ˈprɒ.dəkt/ Explain

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Can the inner product be greater than the length of one of the vectors?
Manipulative 1 - Inner Product Created with GeoGebra.

The inner product, also called dot product of two vectors <x1, y1> and <x2, y2> is a scalar defined as x1·x2 + y1·y2. For vectors with more than two dimensions, the dot product is defined as x1·x2·x3·… + y1·y2·y3·… or |A|cos(θ) where A is the magnitude of the vector.


  1. McAdams, David E.. All Math Words Dictionary, inner product. 2nd Classroom edition 20150108-4799968. pg 99. Life is a Story Problem LLC. January 8, 2015. Buy the book

Cite this article as:

McAdams, David E. Inner Product. 3/20/2019. All Math Words Encyclopedia. Life is a Story Problem LLC.

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Revision History

3/20/2019: Completed last sentence. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
8/6/2018: Initial version. (McAdams, David E.)

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