I have a set of vectors in R^2(i.e. two-dimensional vectors) such that the scalarproduct (the same as the inner product, or dot product) of any two of the vectors is negative.What is the maximum number of vectors that can be in my set?

I have a set of vectors in R^2(i.e. two-dimensional vectors) such that the scalarproduct (the same as the inner product, or dot product) of any two of the vectors is negative.What is the maximum number of vectors that can be in my set?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 11E

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Question

I have a set of vectors in R^2
(i.e. two-dimensional vectors) such that the scalar
product (the same as the inner product, or dot product) of any two of the vectors is negative.
What is the maximum number of vectors that can be in my set?

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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