Linjer i planen (2D)side 118-123 i Grundbog AVinkel mellem linjerEksempel 94 side 118Givet parameterfremstillinger for 2 linjer.Retningsvektorerne opskrives.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRJEd5bUYnRi9GMi8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJ0ZALUkjbW9HRiQ2LVEiOkYnRkAvJSZmZW5jZUdGPy8lKnNlcGFyYXRvckdGPy8lKXN0cmV0Y2h5R0Y/LyUqc3ltbWV0cmljR0Y/LyUobGFyZ2VvcEdGPy8lLm1vdmFibGVsaW1pdHNHRj8vJSdhY2NlbnRHRj8vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZWRj1GQA==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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEkMTgwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=Spidse vinkel mellem linjerne er s\303\245 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Eksempel 95 side 119Givet ligninger for 2 linjer.Normalvektorerne opskrives.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRJEd5bUYnRi9GMi8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJ0ZALUkjbW9HRiQ2LVEiOkYnRkAvJSZmZW5jZUdGPy8lKnNlcGFyYXRvckdGPy8lKXN0cmV0Y2h5R0Y/LyUqc3ltbWV0cmljR0Y/LyUobGFyZ2VvcEdGPy8lLm1vdmFibGVsaW1pdHNHRj8vJSdhY2NlbnRHRj8vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZWRj1GQA==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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEkMTgwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGRy1JI21pR0YkNiVRIiVGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJStleGVjdXRhYmxlR0Y4Ri8=Spidse vinkel mellem linjerne er s\303\245 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\303\246ring mellem linjerEksempel 96 side 120Givet parameterfremstillinger for 2 linjer.NB: Brug forskellige navne som parameter - her LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn og 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er alts\303\245 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Lad os tegne linjerne i samme koordinatsystem: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Eksempel 97 side 120Givet parameterfremstillinger for 2 linjer.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRJEd5bUYnRi9GMi9GM1Enbm9ybWFsRidGPS1JI21vR0YkNi1RIjpGJ0Y9LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlQvJStleGVjdXRhYmxlR0ZFRj0=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 svarer ikke. Det betyder normalt, at der ingen l\303\270sning er!Tester om retningsvektorerne er parallelle?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Linjerne er alts\303\245 parallelle.NB: Ikke sammenfaldende, for s\303\245 ville Maple komme med uendelig mange l\303\270sninger!Lad os tegne linjerne i samme koordinatsystem: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 98 side 121Givet ligninger for 2 linjer.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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\303\246ringspunktet er alts\303\245 i 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med Carlsberg-formlen:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRJEd5bUYnRi9GMi8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJ0ZALUkjbW9HRiQ2LVEiOkYnRkAvJSZmZW5jZUdGPy8lKnNlcGFyYXRvckdGPy8lKXN0cmV0Y2h5R0Y/LyUqc3ltbWV0cmljR0Y/LyUobGFyZ2VvcEdGPy8lLm1vdmFibGVsaW1pdHNHRj8vJSdhY2NlbnRHRj8vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZWRj1GQA==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: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 99 side 122Givet 2 linjer. Den ene via parameterfremstilling, den anden via 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er alts\303\245 i 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af punkt p\303\245 linjeEksempel 100 side 122Givet ligning for en linje, samt et punkt, som skal projiceres (vinkelret) ned p\303\245 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gennem A har LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JkYrLUkmbW92ZXJHRiQ2JS1GIzYmLUklbXN1YkdGJDYlLUYsNiZRIm5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYmLUYsNiZRIkxGJ0Y8Rj9GQkY8Rj9GQi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjxGP0ZCLUkjbW9HRiQ2L1EtJlJpZ2h0QXJyb3c7RidGPy8lLHBsYWNlaG9sZGVyR0Y+L0ZDUSdub3JtYWxGJy8lJmZlbmNlR1EmdW5zZXRGJy8lKnNlcGFyYXRvckdGVy8lKXN0cmV0Y2h5R0Y+LyUqc3ltbWV0cmljR0ZXLyUobGFyZ2VvcEdGVy8lLm1vdmFibGVsaW1pdHNHRlcvJSdhY2NlbnRHRlcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0Zgby9GXW9GPkY/RlNGK0Y/RlM= som retningsvektor: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 gennem A har s\303\245 parameterfremstillingen: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Sk\303\246ringspunktet er alts\303\245 i 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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