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18 Vektoralgebra

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18.4 Skalarprodukt

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Beispiel 18 - 176
Zahlenbeispiel:

F =( 3 2 ); MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaamaaFiaabaGaam OraaGaay51GaGaeyypa0ZaaeWaaeaafaqabeGabaaabaGaaG4maaqa aiaaikdaaaaacaGLOaGaayzkaaGaaGjbVlaaywW7caGG7aaaaa@4055@   S =( 1 5 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaamaaFiaabaGaam 4uaaGaay51GaGaeyypa0ZaaeWaaeaafaqabeGabaaabaGaeyOeI0Ia aGymaaqaaiaaiwdaaaaacaGLOaGaayzkaaGaaGjbVdaa@3F03@

Die Berechnung erfolgt durch komponentenweise Multiplikation:

 #
F #
S = (-3+10) = 7
α = arccos2 1326


PIC .

Abbildung 1: Falk’sches Schema


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