Vector dot product

Knowing that $\vec{e}_{1} = \begin{pmatrix}1&0&0&0\end{pmatrix}^{\mathsf{T}}$, $\vec{e}_{2} = \begin{pmatrix}0&1&0&0\end{pmatrix}^{\mathsf{T}}$, $\vec{e}_{3} = \begin{pmatrix}0&0&1&0\end{pmatrix}^{\mathsf{T}}$, $\vec{e}_{4} = \begin{pmatrix}0&0&0&1\end{pmatrix}^{\mathsf{T}}$, find the following scalar product$$\left(-12\vec{e}_{2} - \vec{e}_{1} + \vec{e}_{4}\right)\cdot\left(\vec{e}_{3} - \frac{1}{6}\vec{e}_{2} - \vec{e}_{4} + 2\vec{e}_{1}\right)$$