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 nonissues 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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 Summer '11
 Staff
 Math, Linear Algebra, Vector Space, Vectors virtual handout

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