###### Exercise 9

Suppose that \(k\) is an unknown parameter and consider the set of vectors

\begin{equation*}
\vvec_1 = \threevec{2}{0}{1},
\vvec_2 = \threevec{4}{-2}{-1},
\vvec_1 = \threevec{0}{2}{k}\text{.}
\end{equation*}

For what values of \(k\) is the set of vectors linearly dependent?

For what values of \(k\) does the set of vectors span \(\real^3\text{?}\)