0

0/18

19 Vektorrechnung im 3-dimensionalen

0/18/0

0/18/0/0 .
Beispiel 19 - 180
Darstellung von Vektoren im Dreidimensionalen .

PIC .

Abbildung 1: Dreidimensionale Darstellung

e x → =( 1 0 0 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaamaaFiaabaGaam yzamaaBaaaleaacaWG4baabeaaaOGaay51GaGaeyypa0ZaaeWaaeaa faqabeWabaaabaGaaGymaaqaaiaaicdaaeaacaaIWaaaaaGaayjkai aawMcaaaaa@3E85@
Der Ortsvektor des Punktes P = (3; -2; 1) lautet .

r(P) → = OP → =3⋅ e x → −2⋅ e y → +1⋅ e z → MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaamaaFiaabaGaam OCaiaacIcacaWGqbGaaiykaaGaay51GaGaeyypa0Zaa8HaaeaacaWG pbGaamiuaaGaay51GaGaeyypa0JaaG4maiabgwSixpaaFiaabaGaam yzamaaBaaaleaacaWG4baabeaaaOGaay51GaGaeyOeI0IaaGOmaiab gwSixpaaFiaabaGaamyzamaaBaaaleaacaWG5baabeaaaOGaay51Ga Gaey4kaSIaaGymaiabgwSixpaaFiaabaGaamyzamaaBaaaleaacaWG 6baabeaaaOGaay51Gaaaaa@5680@

| r(P) → |= 3 2 + (−2) 2 + 1 2 = 14 ≈3,7 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaaiaacYhadaWhca qaaiaadkhacaGGOaGaamiuaiaacMcaaiaawEniaiaacYhacqGH9aqp daGcaaqaaiaaiodadaahaaWcbeqaaiaaikdaaaGccqGHRaWkcaGGOa GaeyOeI0IaaGOmaiaacMcadaahaaWcbeqaaiaaikdaaaGccqGHRaWk caaIXaWaaWbaaSqabeaacaaIYaaaaaqabaGccqGH9aqpdaGcaaqaai aaigdacaaI0aaaleqaaOGaeyisISRaaG4maiaacYcacaaI3aaaaa@4D70@ 

.

Teilen