##### Exercise9

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*}
1. For what values of $$k$$ is the set of vectors linearly dependent?

2. For what values of $$k$$ does the set of vectors span $$\real^3\text{?}$$

in-context