Let H = span(V1, V2, V3, V4). From the following sets of vectors, select all where H is a plane. There may be more than one correct answer.
$\begin{aligned}
A. v_1 &= \begin{bmatrix} -1 \\ 2 \\ -2 \end{bmatrix}, v_2 = \begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}, v_3 = \begin{bmatrix} 2 \\ -4 \\ 4 \end{bmatrix}, v_4 = \begin{bmatrix} 3 \\ -6 \\ 6 \end{bmatrix} \\
B. v_1 &= \begin{bmatrix} 3 \\ 3 \\ 3 \end{bmatrix}, v_2 = \begin{bmatrix} -5 \\ -7 \\ 0 \end{bmatrix}, v_3 = \begin{bmatrix} 1 \\ 4 \\ -3 \end{bmatrix}, v_4 = \begin{bmatrix} 0 \\ -2 \\ 2 \end{bmatrix} \\
C. v_1 &= \begin{bmatrix} -3 \\ 1 \\ -2 \end{bmatrix}, v_2 = \begin{bmatrix} 9 \\ -3 \\ 5 \end{bmatrix}, v_3 = \begin{bmatrix} -21 \\ 7 \\ -12 \end{bmatrix}, v_4 = \begin{bmatrix} 30 \\ -10 \\ 17 \end{bmatrix} \\
D. None of the above.
\end{aligned}$
