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Question Number 24622 by ajfour last updated on 22/Nov/17

Commented by ajfour last updated on 22/Nov/17

$$If\overline{b}istheresultofrotating\overline{a}$$$$about\overline{r}byanangle\theta inthe$$$$mannershown,then,express$$$$\overline{\mathit{b}}intermsof\overline{\mathit{a}},\overline{\mathit{r}},and\theta .$$

Commented by jota last updated on 23/Nov/17

$$PA=\mathit{a}PB=\mathit{b}$$

Commented by jota last updated on 23/Nov/17

$$Ocentrodelcirculo$$$$Asumiendo\left[\mathrm{r}\right]=1$$$$Definiendo$$$$\mathrm{i}=OA/\left[OA\right]$$$$\Rightarrow j=\frac{r\times a}{\left[r\times a\right]}$$$$i=j\times r$$$$Luego\mathit{b}=\mathit{a}+AB$$$$=\mathit{a}+x\left(\theta \right)\mathbf{i}+y\left(\theta \right)\mathit{j}$$

Commented by jota+ last updated on 23/Nov/17

$$OA=\mathit{a}-(\mathit{a}\bullet \mathit{r})\mathit{r}$$

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