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Cell[CellGroupData[{
Cell["Calculus: The Language of Change", "Title"],
Cell[TextData[{
StyleBox["Exercise Set 15.2\n",
FontVariations->{"Underline"->True}],
"Position Vectors"
}], "Subtitle"],
Cell["solutions by Randall Childs and David Theobald", "Subsubtitle"],
Cell[TextData[{
"\tSee the labeled ",
StyleBox["Mathematica",
FontSlant->"Italic"],
" notebooks to solve Computer Exercises 1, 2, and 3."
}], "Text"],
Cell[CellGroupData[{
Cell["Exercise 4", "Subsection"],
Cell["\<\
Find the ordered pairs or triples designating the following \
position vectors.\
\>", "Text"],
Cell["\<\
Answers:
\t(a)\t(3,2)
\t(b)\t(3,-1)
\t(c)\t(-2,4,2)
\t(d)\t(1.5,-3,1)\
\>", "Text"],
Cell["\<\
Explanations:
\tNothing fancy here. The values of the coordinates are just what they \
appear to be. The only moderately tricky part is keeping track of which \
coordinate is listed first, second, etc.\
\>", "Text"]
}, Closed]],
Cell[CellGroupData[{
Cell["Exercise 5", "Subsection"],
Cell["\<\
Answers will vary. But here are some rough guidelines and fun \
(maybe) questions.\
\>", "Text"],
Cell["\<\
For part (a) none of your answers should have negative coordinates. \
Why not? Where would an object be if it had a zero for one of its \
coordinates?\
\>", "Text"],
Cell["\<\
For part (b) none of your answers to (1)-(4) should have negative \
coordinates for the same reason as for part (a). For the front door of the \
building and your parent's home, at least one of the coordinates is likely to \
be negative. Which coordinate (for the front door) must be negative if your \
classroom is on the seventh floor? What if your classroom were in Colorado \
and your parents live in Miami? Or vice versa? Does it matter on which \
floor you or your parent's home is? What happens to the coordinates of \
points outside of the classroom if you choose a different corner as the \
origin of your axes?\
\>", "Text"]
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