Inner Product

Pronunciation: /ˈɪn.ər ˈprɒ.dəkt/ Explain

Click on the blue points to change the figure. 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.

References

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. https://www.allmathwords.org/en/i/innerproduct.html.

Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem LLC and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

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.)