Answer
$${\text{Neither orthogonal nor parallel}}$$
Work Step by Step
$$\eqalign{
& {\bf{u}} = {\bf{j}} + 6{\bf{k}},{\text{ }}{\bf{v}} = {\bf{i}} - 2{\bf{j}} - {\bf{k}} \cr
& {\text{Find }}{\bf{u}} \cdot {\bf{v}} \cr
& {\bf{u}} \cdot {\bf{v}} = \left( {{\bf{j}} + 6{\bf{k}}} \right) \cdot \left( {{\bf{i}} - 2{\bf{j}} - {\bf{k}}} \right) \cr
& {\bf{u}} \cdot {\bf{v}} = 0 - 2 - 6 \cr
& {\bf{u}} \cdot {\bf{v}} = - 8 \ne 0 \cr
& {\text{Therefore, the vectors are not orthogonal}}{\text{.}} \cr
& {\text{Neither orthogonal nor parallel}} \cr} $$
