Homework 1

Due: 6 October 2016, by end of the day

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1. Page 106, 3.4, Problem 24
2. Page 113, 3.5, Problem 45
3. Page 284, 6.3, Problem 10
4. Page 284, 6.3, Problem 12
5. Page 284, 6.3, Problem 14
6. Page 285, 6.3, Problem 18
7. page 289, 6.4, Problem 6
8. page 289, 6.4, Problem 10

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9. Using vector methods prove the following trigonmetric relations

cos(x + y) = cos x cos y - sin x sin y
sin(x + y) = sin x cos y + cos x sin y

10. Show that the dot product behaves as a scalar under rotation.

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Solutions

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