1766 lines
37 KiB
Markdown
1766 lines
37 KiB
Markdown
---
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excalidraw-plugin: parsed
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tags: [excalidraw]
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---
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==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
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# Text Elements
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même abscisse ^dovoYKuj
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obtenu en résolvant : ^vtIqV94J
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on choisit de
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garder l'abscisse ^rzLBA5ny
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Orthogonalisation ^DLgME7tK
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Normalisation ^4WmE0QiP
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# Embedded files
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c665955a6da5ce119b4dc07671dab91b66c0e6f4: $$i$$
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623d3a0bd3296a5bd98b7d6453e26073334d8fc6: $$j$$
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366fbe0f4aab223fa490533b66d2356c3bf095ca: $$\vec{u}$$
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8da6096e7f323fb96f295bd639c249653b0a03b3: $$\vec{u} = \begin{pmatrix}1\\2\end{pmatrix}$$
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1c6ec6e7139133e1fb5a11a95ace78eb1419c0c7: $$\vec{v'} = \begin{pmatrix}3\\-\dfrac{3}2\end{pmatrix}$$
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442e6de17fdca267061a6eb3a7d37ce3e023cf29: $$\vec{v'}.\vec{u} = 0 \iff \begin{pmatrix}3\\y\end{pmatrix} . \begin{pmatrix}1\\2\end{pmatrix} = 0$$
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25c389dc4216db164363d59e24b6fef57f4a335c: $$\vec{v'}$$
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d3de19316263c3a96e92207bc1e6eff6dc54d4be: $$\vec{v'} = \begin{pmatrix}3\\-\dfrac{3}2\end{pmatrix}$$
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fd31c4b605c37224e78414ff4c0125c2feb406f1: $$i$$
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2df42b7a7b16bbe4ce0cf26e3eaad43cc2ba8824: $$j$$
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88bb74b3e1d047329fdbcf949c6d27c035d23a43: $$\vec{u}$$
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e79f022fb8dab78454a1116291a878d81fade9cb: $$\vec{u} = \begin{pmatrix}1\\2\end{pmatrix}$$
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2efc64631a0d9be0bc2977202d0ab8dacc819633: $$\vec{u_o} = \dfrac{1}{\|\vec{u}\|}\vec{u}$$
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341cf67dc78858a5aad41d682c7a0998ca31cfc3: $$\vec{v_o} = \dfrac{1}{\|\vec{v'}\|}\vec{v'}$$
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f1a46aa399518d178eb17325de0b1fc86b9fcb58: $$= \dfrac{1}\sqrt{5}\vec{u}$$
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aed0f5f5364d001192dca46611e1d70bd1838ae8: $$= \dfrac{1}{\sqrt{5}}\vec{u}$$
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46d39a862f7ec272a6c11e0dafd5a3bf044550cc: $$= \dfrac{2}{3\sqrt{5}}\vec{v'}$$
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36175576d1f87a49da7f471789bdba66496217d6: $$\vec{v} = \begin{pmatrix}3\\4\end{pmatrix}$$
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%%
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# Drawing
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```json
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{
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"type": "excalidraw",
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"version": 2,
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"source": "https://excalidraw.com",
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%% |