Compute $u \cdot v$, $\overline{w}^T u$, $\overline{w} \cdot \overline{v}$, $u \cdot (v + w)$, and $\overline{v}^T (\overline{k}w)$ using Formula (5) and parts (a), (b), (c), (d) of Theorem 5.3.3 where applicable.
$u = (i, 6i, 6)$, $v = (7, -6i, 1 + i)$, $w = (6 - i, 6i, 7 + 6i)$, $k = 6i$
$u \cdot v = i - 30$
$\overline{w}^T u = 77 - 30i$
$\overline{w} \cdot \overline{v} = 19 + 8i$
$u \cdot (v + w) = 47 - 29i$
$\overline{v}^T (\overline{k}w) = 36 - 474i$
