1. Comment on how the vector space $\complex{m}$ went from a theorem (Theorem VSPCV) to an example (Example VSCV).
2. In the crazy vector space, $C$, (Example CVS) compute the linear combination \begin{equation*} 2(3,\,4)+(-6)(1,\,2). \end{equation*}
3. Suppose that $\alpha$ is a scalar and $\zerovector$ is the zero vector. Why should we prove anything as obvious as $\alpha\zerovector=\zerovector$ such as we did in Theorem ZVSM?