Rotation om en vilk\303\245rlig akse i rummet (1)LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIjpGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSV3aXRoRidGL0YyLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEkR3ltRidGL0YyLyUrZXhlY3V0YWJsZUdGPUY5RjlGNUZPLUZTNiQtRiM2JS1GLDYlUSZwbG90c0YnRi9GMkZaRjlGOUY1RlpGOQ==Rotation med vinklen \316\270 om en vilk\303\245rlig akse i rummetDer \303\270nskes en formel for rotation om en vilk\303\245rlig akse i rummet.Aksen er givet ved en parameterfremstilling for en ret linje i rummet: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Dvs. et punkt p\303\245 rotationsaksen er LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIwRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdGQC9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnRjVGQQ== of retningsvektoren er 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.Generel formel for rotationenKilde:https://www.win.tue.nl/~vanwijk/2IV60/2IV60_4_3D_transformations.pdfAlternativ kilde:https://www.engr.uvic.ca/~mech410/lectures/4_2_RotateArbi.pdfMetoden er:translatere aksen til at g\303\245 gennem origo.rotere til z-aksenrotere den \303\270nskede vinkel om z-aksenrotere tilbage fra z-aksentranslatere tilbage, s\303\245 aksen g\303\245r gennem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIwRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdGQC9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnRjVGQQ==NB: 4 er invers operation af 2, 5 er invers operation af 1.NB: retningsvektoren skal v\303\246re en enhedsvektor!1) translation til origoPunktet, som skal bhandles kaldes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn.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2) rotation til z-aksenLaver en ortonormale basis: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\303\206ndring af retningsvektoren, s\303\245 den er en enhedsvektor: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Konstruktion af en ortogonal vektor: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Konstruktion af en ortogonal vektor:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEid0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRInZGJ0YvRjItRjY2LVEoJnRpbWVzO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZWLUYsNiVRInVGJ0YvRjItRjY2LVEiOkYnRjlGO0Y+RkBGQkZERkZGSEZKRk0vJStleGVjdXRhYmxlR0Y9Rjk=NB: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEid0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn er en enhedsvektor!S\303\246ttet u, v og w er en ortonormal basis, hvor u er parallelel med den \303\270nskede rotations-akse! Rotationsmatrix: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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=3) rotation om z-aksen med givne vinkel \316\270https://en.wikipedia.org/wiki/Rotation_matrix#In_three_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) rotation tilbage fra z-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 eller LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2KlEiUkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGNC8lK2JhY2tncm91bmRHUS5bMjU1LDIwNCwxNTNdRicvJSdvcGFxdWVHRjQvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRictRiM2Ki1GLzYqUSMlVEYnRjJGNUY3RjpGPEY/RkJGMkY1RjdGOkY8Rj9GQi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGPC9GQFEnbm9ybWFsRic= , da matricen er ortogonal.7) translation (tilbage)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Samlet rotation om vilk\303\245rlig 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som skal roteres: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Rotationsakse: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Rotationsvinkel:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnRjIvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZJLUkjbW5HRiQ2JFEkMTIwRidGMi1GNjYtUSI6RidGMkY5RjtGPUY/RkFGQ0ZFRkdGSi8lK2V4ZWN1dGFibGVHRjFGMg==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=Omregnet til radiantal: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Rotation af \303\251t punktLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdGPS9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGPg== = 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 = Dvs. punktet (1,0,2) vil efter rotationen v\303\246re LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkMtSSdtdW5kZXJHRiQ2JS1GIzYuRistRiM2KUYrLUZHNiUtRiM2LC1JKG1mZW5jZWRHRiQ2KC1GIzYzLUYsNjFRKiZ1bWludXMwO0YnLyUlYm9sZEdRJXRydWVGJy8lK2JhY2tncm91bmRHUSxbMCwyNTUsMjU1XUYnLyUnb3BhcXVlR0Zlbi9GMFElYm9sZEYnLyUrZm9udHdlaWdodEdGXG9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yMjIyMjIyZW1GJy9GRUZgby1JI21uR0YkNihRJTEuNTNGJ0ZZRmZuRmluRltvRl1vLUYsNjFRIixGJ0ZZRmZuRmluRltvRl1vRjIvRjZGZW5GN0Y5RjtGPUY/L0ZCUSYwLjBlbUYnL0ZFUSwwLjMzMzMzMzNlbUYnRlYtRmNvNihRJTMuMTJGJ0ZZRmZuRmluRltvRl1vRmZvRlYtRmNvNihRJTEuMTRGJ0ZZRmZuRmluRltvRl1vRlkvJSdpdGFsaWNHRmVuLyUrZm9yZWdyb3VuZEdRK1swLDE2MCw4MF1GJ0ZmbkZpbi8lLHBsYWNlaG9sZGVyR0Zlbi8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdGZW4vRjBRLGJvbGQtaXRhbGljRidGXW9GWUZmbkZpbkZbb0Zdb0ZZRmRwRmZwRmZuRmluRmlwRltxRl1xRl1vLUYsNjJRKiZPdmVyQmFyO0YnRllGZm5GaW5GaXBGW29GXW8vRjNRJnVuc2V0RicvRjZGY3EvRjhGZW4vRjpGY3EvRjxGY3EvRj5GY3EvRkBGZW5Gam8vRkVGW3AvJSxhY2NlbnR1bmRlckdGNEZZRmZuRmluRltvRl1vRitGWUZkcEZmcEZmbkZpbkZpcEZbcUZdcUZdb0ZfcUZbckZZRmZuRmluRltvRl1vTjek svaret med: http://twist-and-shout.appspot.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hele vejen rundt af \303\251t 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hele vejen rundt af en trekantHj\303\270rnerne i trekanten p\303\245 gulvet (ekstra gentagen punkt, s\303\245 3D-figuren 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Y2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkM=