$\left[\begin{array}{ccc}9 & -2 & 2 \\ 0 & 10 & -3 \\ 3 & -2 & 11\end{array}\right]$

$\left[\begin{array}{ccc}8 & -2 & 2 \\ 0 & 9 & -3 \\ 3 & -2 & 10\end{array}\right]$

$\left[\begin{array}{rrr}9 & -2 & 2 \\ 0 & 10 & -3 \\ 3 & -2 & 12\end{array}\right]$

$\left[\begin{array}{ccc}3 & 2 & -2 \\ 0 & 10 & 3 \\ -3 & 2 & 12\end{array}\right]$

$\frac{10}{3}$

$\frac{13}{3}$

$\frac{14}{3}$

$\frac{23}{3}$

$\bar{a}, \bar{b}, \bar{c}$ are non-collinear

$\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}$ are in the same direction

$\overline{\mathrm{a}}, \overline{\mathrm{c}}$ are in the same direction but $\overline{\mathrm{a}}, \overline{\mathrm{b}}$ are in the opposite direction

$\overline{\mathrm{c}}, \overline{\mathrm{b}}$ are in the opposite direction and $\overline{\mathrm{a}}, \overline{\mathrm{b}}$ are in the same direction

$\frac{1}{3 \sqrt{2}}$

$\frac{3}{\sqrt{10}}$

$\frac{2}{\sqrt{10}}$

$\frac{1}{5 \sqrt{2}}$