Update main.tex

Author: annadavismath

VEC-0005/main.tex

@@ -20,10 +20,10 @@ \section*{Vectors and their Representations}
 \end{tikzpicture}
 \end{center}       
 
-How would you describe the location of $P$?  Whether you reference the edges of the page or introduce your own set of axes, you will find that (1) a fixed reference system is required to describe the location, and (2) the resulting description may differ from someone else’s, since different choices of coordinate system lead to different representations.
+How would you describe the location of $P$?  Whether you reference the edges of the page or introduce your own set of axes, you will find that (1) a reference system is required to describe the location, and (2) the resulting description may differ from someone else’s, since different choices of coordinate system lead to different representations.
 
 \begin{idea}
-A mathematical object is distinct from its representation.  A single object may have a multitude of representations that depend on convention and convenience.
+A mathematical object is distinct from its representation.  A single object may have a multitude of representations dictated by convention and convenience.
 \end{idea}
 
 \subsection*{How to Create a Coordinate System}
@@ -35,7 +35,7 @@ \subsection*{How to Create a Coordinate System}
     \item Orthogonality of axes
 \end{itemize}
 
-Representation of points and vectors is dictated by the established coordinate system.
+The representation of points and vectors is driven by the established coordinate system.
 
 What if we started from scratch?  Take two vectors, choose the location of the origin, then use the two vectors to create a coordinate grid.  The interactive below allows you to move points $A$ and $B$ to create two vectors.  Move the slider to see how different points in the plane can be represented using this coordinate grid, and how the representation of a fixed point changes depending on what grid is chosen.