Umformung NF zu KF

Ist eine Ebene in folgender Form gegeben E : ( x → − p → ) ⋅ n → = 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GaamyraiaacQdacaaMc8UaaGPaVlaaykW7caaMc8UaaGPaVlaaykW7 caaMc8UaaGPaVlaaykW7caaMc8UaaGPaVpaabmaapaqaa8qaceWG4b WdayaalaWdbiabgkHiTiqadchapaGbaSaaa8qacaGLOaGaayzkaaGa eyyXICTabmOBa8aagaWca8qacqGH9aqpcaaIWaaaaa@52A4@ Ziel ist es in die Koordinatenform zu kommen E : n 1 ⋅ x 1 + n 2 ⋅ x 2 + n 3 ⋅ x 3 = b MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape GaamyraiaacQdacaaMc8UaaGPaVlaaykW7caaMc8UaaGPaVlaaykW7 caaMc8UaaGPaVlaaykW7caaMc8UaaGPaVlaaykW7caaMc8UaamOBa8 aadaWgaaWcbaWdbiaaigdaa8aabeaak8qacqGHflY1caWG4bWdamaa BaaaleaapeGaaGymaaWdaeqaaOWdbiabgUcaRiaad6gapaWaaSbaaS qaa8qacaaIYaaapaqabaGcpeGaeyyXICTaamiEa8aadaWgaaWcbaWd biaaikdaa8aabeaak8qacqGHRaWkcaWGUbWdamaaBaaaleaapeGaaG 4maaWdaeqaaOWdbiabgwSixlaadIhapaWaaSbaaSqaa8qacaaIZaaa paqabaGcpeGaeyypa0JaamOyaaaa@6322@ Wir benötigen also den Normalenvektor n → MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn