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19 Vektorrechnung im 3-dimensionalen

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19.1 Multiplikation eines Vektors mit einem Skalar

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Beispiel 19 - 182
Normierung des Vektors .

a =( 2 1 2 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaamaaFiaabaGaam yyaaGaay51GaGaeyypa0ZaaeWaaeaafaqabeWabaaabaGaaGOmaaqa aiabgkHiTiaaigdaaeaacaaIYaaaaaGaayjkaiaawMcaaaaa@3E3F@

| a |= 2 2 + 1 2 + 2 2 = 9 =3 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaaiaacYhadaWhca qaaiaadggaaiaawEniaiaacYhacqGH9aqpdaGcaaqaaiaaikdadaah aaWcbeqaaiaaikdaaaGccqGHRaWkcaaIXaWaaWbaaSqabeaacaaIYa aaaOGaey4kaSIaaGOmamaaCaaaleqabaGaaGOmaaaaaeqaaOGaeyyp a0ZaaOaaaeaacaaI5aaaleqaaOGaeyypa0JaaG4maaaa@4618@

e a = a | a | =( 2 3 1 3 2 3 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaamaaFiaabaGaam yzamaaBaaaleaacaWGHbaabeaaaOGaay51GaGaeyypa0ZaaSaaaeaa daWhcaqaaiaadggaaiaawEniaaqaaiaacYhadaWhcaqaaiaadggaai aawEniaiaacYhaaaGaeyypa0ZaaeWaaeaafaqabeWabaaabaWaaSaa aeaacaaIYaaabaGaaG4maaaaaeaadaWcaaqaaiabgkHiTiaaigdaae aacaaIZaaaaaqaamaalaaabaGaaGOmaaqaaiaaiodaaaaaaaGaayjk aiaawMcaaaaa@4A10@ .

Der neue Vektor hat den Betrag 1.

.

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