Notes_EN

Calculation

Determinant of ...

Determinant of $r^2\mathbb{1}-3\boldsymbol{r}\otimes\boldsymbol{r}$ \begin{align} \boldsymbol{r}\otimes\boldsymbol{r} =\begin{pmatrix} x^2&xy&xz\\ yx&y^2&yz\\ zx&zy&z^2 \end{pmatrix} \end{align} This matrix has following properties: $\math…

Useful knowledge for calculation

Prefix Pressure Others Density of water: Water pressure: Prefix Name Symbol $10^n$ kilo k $10^3$ hecto h $10^2$ deca da $10^1$ $10^0$ deci d $10^{-1}$ centi c $10^{-2}$ Pressure \begin{align} 1 \mathrm{\,Pa}&=1 \mathrm{\,N/m^2}\\ \text{Atm…