Show that any element of the Euclidean group is an isometry of R^n

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 4E: 4. List all the elements of the subgroupin the group under addition, and state its order.
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Show that any element of the Euclidean group is an isometry of R^n

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