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VEC-0005/main.tex

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\documentclass{ximera}
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\input{../preamble.tex}
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\title{Vectors and their Representations} \license{CC BY-NC-SA 4.0}
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\title{Coordinate Systems} \license{CC BY-NC-SA 4.0}
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\begin{document}
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\maketitle
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\begin{onlineOnly}
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\section*{Vectors and their Representations}
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\section*{Coordinate Systems}
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\end{onlineOnly}
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We will start our Linear Algebra journey with a very important point.
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A mathematical object is distinct from its representation. A single object may have a multitude of representations dictated by convention and convenience.
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\end{idea}
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\subsection*{How to Create a Coordinate System}
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\subsection*{Creating and Using a Coordinate System}
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When you first encountered vectors in your earlier courses it was probably assumed that these vectors exist in some established rectangular coordinate system. Such a coordinate system implicitly postulates the following structure:
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\begin{itemize}

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