Sauter au contenu\(\require{cancel}\require{extpfeil}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\Complex}{\mathbb{C}}
\newcommand{\D}{\mathbb{D}}
\newcommand{\Prob}[1]{\mathbb{P}\left(#1\right)}
\newcommand{\Probc}[2]{\mathbb{P}\left(#1~\left|\right .~#2\right)}
\newcommand{\E}[1]{\mathbb{E}\left(#1\right)}
\newcommand{\Ec}[2]{\mathbb{E}\left(#1~\left|\right .~#2\right)}
\newcommand{\indicator}[1]{1{\hskip -2.5 pt}\hbox{I}_{\left\{ {#1} \right\} }}
\newcommand{\pfrac}[2]{\left(\frac{#1}{#2}\right)}
\newcommand{\RH}{\overset{\text{\scalebox{0.8}{ R.H.}}}{=}}
\newcommand{\norm}[1]{\left\|#1\right\|}
\newcommand{\abs}[1]{\left|#1\right|}
\newcommand{\vecl}[1]{\overrightarrow{#1}}
\newcommand{\vecd}[2]{\begin{pmatrix}#1 \\ #2\end{pmatrix}}
\newcommand{\vecddd}[3]{\begin{pmatrix}#1 \\ #2 \\ #3\end{pmatrix}}
\newcommand{\pscal}[2]{\vecl{#1}\cdot \vecl{#2}}
\newcommand{\matcold}[4]{\begin{pmatrix}#1 & #3 \\ #2 & #4\end{pmatrix}}
\newcommand{\matcolt}[9]{\begin{pmatrix}#1 & #4 & #7 \\ #2 & #5 & #8 \\ #3 & #6 & #9\end{pmatrix}}
\newcommand{\matsimile}[2]{\overset{\scriptsize L_{#1}\leftrightarrow L_{#2}}{\sim}}
\newcommand{\matsimils}[2]{\overset{\scriptsize #2L_{#1}\rightarrow L_{#1}}{\sim}}
\newcommand{\matsimilc}[3]{\overset{\scriptsize #2L_{#1}+L_{#3}\rightarrow L_{#3}}{\sim}}
\newcommand{\matII}{\begin{pmatrix} 1& 0 \\ 0 & 1\end{pmatrix}}
\newcommand{\matIII}{\begin{pmatrix} 1& 0 & 0\\ 0 & 1 & 0 \\ 0& 0& 1\end{pmatrix}}
\DeclareMathOperator*{\argmin}{arg\,min}
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator{\sech}{sech}
\DeclareMathOperator{\csch}{csch}
\DeclareMathOperator{\arcsec}{arcsec}
\DeclareMathOperator{\arccot}{arccot}
\DeclareMathOperator{\arccsc}{arccsc}
\DeclareMathOperator{\arccosh}{arccosh}
\DeclareMathOperator{\arcsinh}{arcsinh}
\DeclareMathOperator{\arctanh}{arctanh}
\DeclareMathOperator{\arcsech}{arcsech}
\DeclareMathOperator{\arccsch}{arccsch}
\DeclareMathOperator{\arccoth}{arccoth}
\DeclareMathOperator{\dom}{dom}
\DeclareMathOperator{\Ima}{Im}
\DeclareMathOperator{\cis}{cis}
\DeclareMathOperator{\Arg}{Arg}
\DeclareMathOperator{\vspan}{span}
\renewcommand{\Re}{\operatorname{Re}}
\newcommand{\CQFD}{\begin{flushright}
$\blacksquare$
\end{flushright}}
\newcommand{\cqfd}{\begin{flushright}
$\Box$
\end{flushright}}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Instructions.
Instructions pour la figure interactive: Entrer un nombre positif dans la boite si l’orientation du repère
\(\langle \vec{u},\vec{v}\rangle\) est positive et un nombre négatif si l’orientation est négative. Un clic sur le bouton de validation vérifiera la réponse entrée, alors qu’un clic sur le bouton «nouveau problème» va générer une nouvelle version de l’exercice.
