Algebra Vectorial P3.0
August 29, 2022 | Author: Anonymous | Category: N/A
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Äcfg`rd Ygktarjdc Ygktarjdc Wljodo J. Kdpåtuca J ‛ ^drtg ;
Fgaegtråd Dldcåtjkd Ygktarjdc
Jlfgljgråd
[Y PG PGFC FCD D OG OGC C ^D ^DPD PDCG CGCA CAF FPD PDE EA Lared=
+
+
Ƒ
42>-Ƒ
δ
A
+
+
5 ԩ
5
+
+
∐ 0 ԩ
kas(42> ∐ )
+
()
Ojrgkkjûl= (δ) 42> ∐ 5 ԩ +
Ƒ
5
+
[gltjoa= Kacd gl cd kacd ogc prjegra y icgkbd gl cd icgkbd ogc sgfuloa
0
[Y PG PGFC FCD D OG OGC C ^D ^DPD PDCG CGCA CAF FPD PDE EA Gmgrkjkja 4 [j + + 5 y 5 , 5 y 5 . Ogtgrejlg gc älfuca qug iared y . [AC=
+ + 5 ← + 5 ∐ + 5 ∐ ← + 5
+ 5 ← + + 5 + + 5 + + 5 ← 5 ∐ 5 ∐ ← 5 ¾
;
[Y KD[A 4= KA KACJ CJL LGDCG[ Z KAO AOJP JPJJFJOA[ +
Lared= 5 ¾
ԩ + 5 ԩ + + 0 ԩ ԩ + 5 ԩ + + 0 ԩ
kas(>¾)
ԩ + 5 ԩ + + 5 + Ojrgkkjûl=
A
δ 5
>¾ + >¾
8 5 ¾
[gltjoa= Kacd gl cd kacd ogc prjegra y icgkbd gl cd icgkbd ogc sgfuloa. Jfudc d a .
?
[Y KD[A 0= KACJLGDCG[ KACJLGDCG[ Z KAL_PDPJDEGL_G OJPJFJOA[ Lared= 5 ¾
+
A
A
+
ԩ + 5 ԩ + + 0 ԩ kas(42>¾) ԩ ԩ + 5 + ∐ 0 ԩ ԩ ԩ + < 5 ← ∐ + 5 ∐ < ← + 5 ∐ Ojrgkkjûl=
< ← 5 ¾ < ← 5 ¾ [gltjoa= Gc ejsea qug gc og edyar calfjtuo.
7
^PA^JGODOG[ OG [Y [gd , , og Yl y k y o џ P ^raoukta
^rapjgodo
[ued
Wljiarejodo
∂ ← + ∂
Kaeeutdtjvd
+ 5 +
Dsakjdtjvd
+ + 5 + +
Gcgeglta Lgutra
+ 5
Gcgeglta Jlvgrsa
+ ∐ 5
Ojstrj`utjvd
∂ ← ∂
5
5 5
5 ← 5
= + 5 +
= + 5 +
9
^PA^JGODOG[ OG [Y Gmgrkjkja 0 Odoa cas vgktargs= 5(d,-0p) y 5(;p,-`) 5(;p,-`),, bdc bdccdr d, ` y p pdrd qug= = + 5(9,-?) y sgd pdrdcgca d . [AC=
5 8 + 5 , ∐ ← + 5 , ∐ ← + 5 (, ∐) + , ∐ 5 , ∐ ← + , ∐ + 5 (, ∐) + 5 8 ∐ + 5 ∐ ← + 5 5 ← 5 5 , ∐ 8 5 , ∐ ← + 5 , ∐ , ∐ + , ∐ 5 , ∐ , ∐ ← + 5 8 ∐ 5 ∐ 5+8 8 , ∐ 58 8 55
6
YGK_AP _AP OJI OJIGPGL GPGLKJ KJD D YGK Odoas oas vgktargs y og Yl Yl,, ojstjltas og kgra, tdc kaea 5 ( , , … , ) 5 ( , , … , ). [g ogijlg d ∐sga`tjglgl= 5 + (∐) kaea gc vgktar kuyds kaepalgltgs
∐ 5 ( ∐ , ∐ , … , ∐ ) (?, ∐; ∐;,,4, ∐0 ∐0)) y 5 ∐;, ∐0, ∐;,> . Bdccg Gme= [gd D 5 (?, ԩ ∐ . ԩ ∐ 5 (? ∐ (∐;), ∐; ∐ (∐0), 4 ∐ (∐;), ∐0 ∐ >) ∐ 5 (, ∐, , ∐)
2
YGK_AP P OJIGPGL OJIGPGLKJD KJD YGK_A A
∐
Ƒ
∐ δ
∐
∐
Lared= ∐
5
∐
()
5 ԩ ∐
5 ∐
+
Ojrgkkjûl= (δ)
[gltjoa=
∐
Kacd gl cd icgkbd ogc sgfuloa y icgkbd gl cd icgkbd ogc prjegra
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