The big-dot product: an altered dot product
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Authors
Wrobel, John
Date
5/2/2019
Type
text
images
poster
images
poster
Language
en_US
Keywords
Student Showcase of Research & Engagement Spring 2019
Alternative Title
Abstract
Student Showcase of Research & Engagement Spring 2019
Description
The dot product is a common vector operation with uses in finding perpendicular vectors and leading to vector projections. With the dot product being so useful with vectors, we explore an alteration of the definition called the big-dot product. Given vectors v and u with x as the angle between them, the dot product of vectors v and u is |v
u|sin(x), while the big-dot product with the same givens is |v
u|cos(x). The big-dot product excels with scalar multiples of vectors and areas, but yields a complicated result when finding perpendicular vectors.
u|sin(x), while the big-dot product with the same givens is |v
u|cos(x). The big-dot product excels with scalar multiples of vectors and areas, but yields a complicated result when finding perpendicular vectors.
Citation
Publisher
Plymouth State University