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\mathbf{e}\cdot\mathbf{n} = \mathbf{q}\cdot{\mathbf{n}-(\mathbf{q} \cdot \mathbf{n})\mathbf{n}\cdot\mathbf{n} = 0
|\bf{s}-\bf{x}|^2 = |\bf{s}-\bf{r}-(\bf{x}-\bf{r})|^2 = |\lambda \bf{n} - (\bf{x}-\bf{r})|^2 \\[br]= \lambda^2 |\bf{n}|^2 -2 (\bf{x}-\bf{r})\cdot\bf{n}+|\bf{x}-\bf{r}|^2 = \lambda^2 + 1
r_{k+1} = 2^{k-1} - \frac{2^{k-1} + 2(-1)^{k-1}}{3} \\[br]\implies r_{k+1} = \frac{2^{k-1}(3-1) - 2(-1)^{k-1}}{3} \\[br]\implies r_{k+1} = \frac{2^k + 2(-1)^k}{3}
\displaystyle m = \int_0^r \frac{2\pi \rho x^2}{r} dx = \left[\frac{2\pi\rhox^3}{3r}\right]_0^r = \frac{2\pi}{3}\rho r^2
\displaystyle I_C = \int_0^r \frac{2\pi \rho x^4}{r}dx = \left[\frac{2\pi\rhox^5}{5r}\right]_0^r = \frac{2\pi}{5} \rho r^4 = \frac{3mr^2}{5}
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