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hw4 - of motions let θ be reflection in x = 0(the y-axis...

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Math 4124 Monday, February 7 Fourth Homework Due 2:30 p.m., Monday February 14 1. Section 2.3, Exercise 6 on page 60. (3 points) 2. Section 2.4, Exercise 3 on page 65. (Use an ungraded homework problem.) (2 points) 3. Let G be the group of all rigid motions of the plane (the operation being composition
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Unformatted text preview: of motions), let θ be reflection in x = 0 (the y-axis), and let φ be reflection in x = 1 (thus θ , φ ∈ G ). Determine |h θ i| , |h φ i| , | θφ | , |h θ , φ i| . (3 points) 4. Section 3.1, Exercise 24 on page 88. (2 points) (4 problems, 10 points altogether)...
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