Mathematics

Problem

Let

\mathbf{u}=3\mathbf{i}-2\mathbf{j}+6\mathbf{k}

and

\mathbf{v}=-9\mathbf{i}+6\mathbf{j}-18\mathbf{k}

. Determine whether

\mathbf{u}

and

\mathbf{v}

are parallel. If they are, state whether they are in the same direction or in opposite directions.