Distance and Dot Products: Consider the vectors $${\mathbf u} = \langle-6, 2, -7\rangle \textrm{ and } {\mathbf v} = \langle 6, 10, 1\rangle.$$
Compute $\Vert \mathbf{u}\Vert =$
Compute $\Vert \mathbf{v}\Vert =$
Compute $\mathbf{u} \cdot \mathbf{v} =$