nus/ma1522/ch_03.tex

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\subsection{Euclidian n-Spaces}
\begin{defn}[Vector Definitions]\ \\
\begin{itemize}
\item $n$-vector : $v = (v_1, v_2, ..., v_n)$
\item $\vec{PQ} // \vec{P'Q'} \implies \vec{PQ} = \vec{P'Q'}$
\item $|| \vec{PQ} || = \sqrt{(a_2 - a_1)^2 + (b_2 - b_1)^2}$
\item $u + v = (u_1 + v_1, u_2 + v_2), u = (u_1, u_2), v = (v_1, v_2)$
\item $n$-vector can be viewed as a row matrix / column matrix
\end{itemize}
\end{defn}