HW1 - MA/PH 607 8/17/2011 Homework Handout I Note: In...

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MA/PH 607 8/17/2011 Homework Handout I Note: that their basic approach to the traditional vector theory is quite different from your instructor’s. They depend on coordinate formulas to define such things as the dot product; we don’t. Consequently, some of the issues they are concerned with (such as the invariance of the norm under rotations) are non-issues for us. Also, we will develop a much better approach to “rotations” when we get to the more general development of linear algebra. In each of the following problems, first ask yourself if the problem can be done “component free”. If not, go ahead and use components — they were, after all, invented for computations. A. Skim through §1.1 of the text; starting on page 6, do: 1, 11, 7, 8*, 3, 4, 5, 10 (* about 8: Think geometrically, and you will realize that there is really nothing “to show”!) B. Skim through §1.3 of the text; on page 17, do 3 (get component formulas for these things), 5,
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HW1 - MA/PH 607 8/17/2011 Homework Handout I Note: In...

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