Let the $(1,0)$-tensor

$$R=\sum_{\mu=1}^{3} R^{\mu} \frac{\partial}{\partial x^{\mu}}$$

have the components

$$R^{1}=a, \quad R^{2}=a^{2}, \quad R^{3}=a^{3},$$

and let the $(0,1)$-tensor

$$S=\sum_{\mu=1}^{3} S_{\mu} d x^{\mu}$$

have the components

$$S_{1}=b, \quad S_{2}=c, \quad S_{3}=d .$$

Calculate all the components $T_{v}^{u}$ of the (1,1)-tensor $T=R \otimes S$.