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Zusammenfassung Vektoren und Ebenen im Raum - Q2 Gymnasium - Mathematik - Abitur $6.51   Add to cart
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Zusammenfassung Vektoren und Ebenen im Raum - Q2 Gymnasium - Mathematik - Abitur
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  • Course
  • Mathematik
  • Institution
  • Gymnasium

Das sind Lernzettel für eine Klausur im Gymnasium für die Q2 (G9) im Fach Mathematik. Diese eignen sich auch gut fürs Abitur. Die Themen die hier erklärt werden sind: - Punkte und Vektoren im dreiimensionalen Raum zeichnerisch darstellen - Länge von Vektoren ausrechnen - Parameterglei...

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Document information

  • June 24, 2023
  • 13
  • 2022/2023
  • Summary

Subjects

  • geraden
  • ebenen
  • gerade
  • ebene
  • orientieren im raum
  • matrix
  • vektor
  • vektoren
  • punkte im raum
  • dreidimensional
  • zeichnen im r3
  • gaus
  • länge von vektoren
  • parametergleichung
  • punktprobe ge
  • geraden und ebenen im raum

Written for

  • Secondary school
  • Gymnasium
  • Mathematik
  • 2
All documents for this subject (383)

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Briann05

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Punkte und Vektoren im dreidimensionalen Raum Zeichnerisch darstellen




1



Punkt x(2(112)
·

-
2




1 1
- >
Vektor a
3
:
=




7


...
1 !

....................
- -


1




L




Skalarprodukt


a
(ä)
=

5 (55)
=




(a.5 =

a1. b1 +
a z . bz a3.b3
+




-




Wenn Skalarprodukt
0 dann
ist
Orthogonal zueinander 7

, Länge von Vektoren ausrechnen




14


- 3
=
(ü
=




also verschiebtk o m m t
wenn
Ursprung
-> man zum
2
-..
-




--- 3
Pl-2,2,1)
-




man an den Punkt an
---
-2




I h W E >
1 23 i 5
-
I
2
Abstand:Koordinaten von P(-2,2,1) minus (0,0,0)
-3 (
-
also:d =
-
z -


0)(2 0)(1 0)
- -




4
-

5
L d =

- zz 1




->
jetzt
diese Zahlen hoch und addieren und Wurzelziehen




verallgemeinert: a N
T 12
=
+




=An
= ()
=
i
=
=

1
+z =5

d 3
-
=




-
Vektor Vektorlänge



Beispiel:


5 =(

15=E
*62



151 525
36 =
+




151 =
w

151 =
11

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