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tangentplanens ligning er 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155 side 180LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==Kugle med centrum i 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 og radius LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEiPUYnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTi1JI21uR0YkNiVRIjNGJ0YyRjxGMkY8.Ligning: 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2 planer med ligningerne: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Beregner afstanden fra LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn til planerne: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Da afstanden fra LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyMDQsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGMS8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YyRjVGNy9GO1Enbm9ybWFsRic= til planen \316\261 er lig med kuglens radius, vil planen \316\261 tangere kuglen.Da afstanden fra LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyMDQsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGMS8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YyRjVGNy9GO1Enbm9ybWFsRic= til planen \316\262 ikke er lig med kuglens radius, vil planen \316\261 ikke tangere kuglen.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 156 side 181LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==PkkmS3VnbGVHNiIvLDAqJEkieEdGJCIiIyIiIiokSSJ5R0YkRilGKiokSSJ6R0YkRilGKkYoISIjRiwhIidGLiEiKSEjYkYqIiIhPkkmTGluamVHNiIsJi1JJDwsPkdGJDYlISIkIiIqIiIjIiIiKiZJInRHRiRGLC1GJzYlRisiIiFGLEYsRiw=Sk\303\246ringspunkter mellem linjen og kuglen?LUklc3Vic0clKnByb3RlY3RlZEc2Ji9JInhHNiImSSZMaW5qZUdGKDYjIiIiL0kieUdGKCZGKjYjIiIjL0kiekdGKCZGKjYjIiIkSSZLdWdsZUdGKA==LUkmc29sdmVHNiI2JEkiJUdGJEkidEdGJA==PkklUF9fMUc2Ii1JJXN1YnNHJSpwcm90ZWN0ZWRHNiQvSSJ0R0YkIiImSSZMaW5qZUdGJA==PkklUF9fMkc2Ii1JJXN1YnNHJSpwcm90ZWN0ZWRHNiQvSSJ0R0YkISIiSSZMaW5qZUdGJA==Dvs. sk\303\246ringspunkterne hedder 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 og 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TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2NzQ2NzExNjMwNDE2NDYyWColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJCIkLCYhIiQiIiIlInRHIiIjIiIqLCZGKkYoRilGKEYlTTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2NzQ2NzExNjY2NjczODk0WColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJCIkIiIoIiIqRiZGJQ==TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2NzQ2NzExNjY2Njc0MjU0WColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJCIkISImIiIqIiIiRiU=