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Problem 6 (Algebraic Properties Of 3 D Vectors And The Cross Product)

Consider the set $\mathbb{R}^3$, together with the two binary operations of vector addition and the cross product. Which of the properties of being a field does $\mathbb{R}^3$ not satisfy? Give an example of each property that is not satisfied.

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Problem.AlgebraicPropertiesOf3DVectorsAndTheCrossProduct
Schedule.20140108
Schedule.20170109
Schedule.20170111
Schedule.AllProblems442

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Page last modified on January 09, 2017, at 10:54 AM

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HomePage Current Problems All Problems Pictures ProblemsByWeek List of Problems List of Definitions List of Theorems List of Conjectures All Recent changes (use this to find a page that may have been lost)	Problem Algebraic Properties Of 3 D Vectors And The Cross Product Please Login to access more options. Problem 6 (Algebraic Properties Of 3 D Vectors And The Cross Product) Consider the set $\mathbb{R}^3$, together with the two binary operations of vector addition and the cross product. Which of the properties of being a field does $\mathbb{R}^3$ not satisfy? Give an example of each property that is not satisfied. The following pages link to this page. Problem.AlgebraicPropertiesOf3DVectorsAndTheCrossProduct Schedule.20140108 Schedule.20170109 Schedule.20170111 Schedule.AllProblems442 Edit Page History Source Attach File Backlinks List Group Page last modified on January 09, 2017, at 10:54 AM
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