Transition to new format
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@ -3,23 +3,18 @@
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\documentclass[solutions]{../../resources/ormc_handout}
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\usepackage{adjustbox}
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\uptitlel{Intermediate 2}
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\uptitler{ORMC Summer Sessions}
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\title{Vectors 1}
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\subtitle{
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Prepared by Mark on \today \\
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Based on a handout by Oleg Gleizer
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}
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\begin{document}
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\begin{adjustbox}{minipage=0.7\textwidth, margin=0pt \smallskipamount,center}
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\begin{center}
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\textsc{Intermediate 2 \hfill ORMC Summer Sessions} \\
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\rule{\linewidth}{0.2mm}\\
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\huge
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Vectors 1\\
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\normalsize
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\vspace{1ex}
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Prepared by Mark on \today. \\
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Based on a handout by Oleg Gleizer.
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\rule{\linewidth}{0.2mm}\\
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\end{center}
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\end{adjustbox}
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\maketitle
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\section{Warm-Up}
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@ -113,11 +108,11 @@
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In other words, two vectors are equivalent if they have the same length and direction. If this is the case, we write $v = w$.
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\note<Note 1>{
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\note[Note 1]{
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Convince yourself that this is true. Why are these two definitions of vector equivalence interchangeable?
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}
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\note<Note 2>{
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\note[Note 2]{
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A vector is characterized by its direction and length. One cannot make a formal definition out of this observation, because a ``direction'' is formally defined in terms of a vector.
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}
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@ -450,7 +445,7 @@
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\vfill
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\note<Note>{
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\note[Note]{
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With the tools we have thus far, we can multiply vectors by any rational number using only a compass and a ruler. Multiplying a vector by an irrational number is a bit more tricky, but it is doable...
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}
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