# On Some Symmetric Sets of Unit Vectors

by Murray S. Klamkin (University of Alberta, Canada)

Mathematics Magazine
October, 1991

Subject classification(s): Algebra and Number Theory | Linear Algebra | Vector Spaces
Applicable Course(s): 3.8 Linear/Matrix Algebra | 4.21 Senior Seminar / Independent Study in Math

Given symmetric unit vectors $u_i$, conditions on real numbers $x_i$ are considered to be able to conclude that $\sum x_i u_i \Rightarrow x_i = 0$ for all $i$. Different kinds of “symmetry” lead to different conclusions.

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