Event Title

The Big-Dot Product: An Altered Dot Product

Presenter Information

John Wrobel, Mathematics

Faculty Sponsor(s)

Emma Wright

Abstract

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.

Location

Hartman Union Building Courtroom

Start Date

5-2-2019 4:00 PM

End Date

5-2-2019 5:00 PM

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May 2nd, 4:00 PM May 2nd, 5:00 PM

The Big-Dot Product: An Altered Dot Product

Hartman Union Building Courtroom

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.