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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 8807, 353]*) (*NotebookOutlinePosition[ 12021, 452]*) (* CellTagsIndexPosition[ 11454, 430]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["\<\ Demandes associ\[EAcute]es au chapitre-notebook: \"Outils \ vectoriels \"\ \>", "Title"], Cell[TextData[StyleBox[ "Pour acc\[EAcute]der au code relatif \[AGrave] un exemple, double-cliquer \ sur le triangle du crochet ic\[OHat]nique \[AGrave] droite.", FontSize->12]], "Subsubtitle"], Cell[CellGroupData[{ Cell[TextData[StyleBox["Exemple 1", FontWeight->"Bold"]], "Subsection", PageWidth->PaperWidth, CellDingbat->"\[LightBulb]", Evaluatable->False, TextJustification->1, AspectRatioFixed->True, CellTags->{"produit scalaire", "Exemple 1"}], Cell[BoxData[ \({x1, x2, x3}.{y1, y2, y3}\)], "Input", PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain"] }, Closed]], Cell[CellGroupData[{ Cell[TextData[StyleBox["Exemple 2", FontWeight->"Bold"]], "Subsection", PageWidth->PaperWidth, CellDingbat->"\[LightBulb]", Evaluatable->False, TextJustification->1, AspectRatioFixed->True, CellTags->"Exemple 2"], Cell[BoxData[ \(Needs["\"]\)], "Input", PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain", CellTags->"Needs"], Cell[BoxData[ \({x1, x2, x3}\[Cross]{y1, y2, y3}\)], "Input", PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain"] }, Closed]], Cell[CellGroupData[{ Cell[TextData[StyleBox["Exemple 3", FontWeight->"Bold"]], "Subsection", PageWidth->PaperWidth, CellDingbat->"\[LightBulb]", Evaluatable->False, TextJustification->1, AspectRatioFixed->True, CellTags->"Exemple 3"], Cell[BoxData[ \(\(M = {X, Y, Z}; \)\)], "Input", PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain"], Cell[BoxData[ \(\(A = {x[t], 0, 0}; \)\)], "Input", PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain"], Cell[BoxData[ \(\(B = {0, y[t], 0}; \)\)], "Input", PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain"], Cell[BoxData[ \(\(CC = {x[t], y[t]}; \)\)], "Input", PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain"], Cell[BoxData[ RowBox[{ RowBox[{"\[Omega]", "=", RowBox[{"{", RowBox[{ RowBox[{ SuperscriptBox["\[Phi]", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], ",", "0", ",", FractionBox[ RowBox[{ SuperscriptBox["x", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "y"]}], "}"}]}], ";"}]], "Input", PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain"], Cell[BoxData[ \(MA\ = \ A\ - \ M\)], "Input", FontSize->9, FontWeight->"Plain"], Cell[BoxData[ \(MB = B - M\)], "Input", PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain"], Cell[BoxData[ \(VA = \[PartialD]\_t A + MA\[Cross]\[Omega]\)], "Input", PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain"], Cell[BoxData[ \(VB = \[PartialD]\_t B + MB\[Cross]\[Omega]\)], "Input", PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain"], Cell[BoxData[ \(VA\[Cross]\[Omega]\)], "Input", PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain"], Cell[BoxData[ \(TableForm[MapThread[Equal, {VA\[Cross]\[Omega], {0, 0, 0}}]]\)], "Input",\ PageWidth->PaperWidth, AspectRatioFixed->True, FontSize->9, FontWeight->"Plain", CellTags->{"MapThread", "Equal"}], Cell[BoxData[ \(TableForm[% /. 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