8/2/2019 Obj. 23 Vectors (Presentation)
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Mln'
8/2/2019 Obj. 23 Vectors (Presentation)
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Omgoavps dg` Mlnaopjas
Saopm|s dg` Saopm| Mva|dpjmgs(Mln' /
8/2/2019 Obj. 23 Vectors (Presentation)
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Saopm|s
Edbgjpq`a js d rm|` qsa` pm `aso|jla pha sj~a mc
smeaphjgb) sqoh ds ?1 il m| 466 evh' D saopm| tqdgpjpzjs d tqdgpjpz phdp hds lmph edbgjpq`a
dg` `j|aopjmg' Cm| axdevia) 36 evh adp|av|asagps d
aopm| tqdgpjpz'
D aopm| tqdgpjpz js mcpag |av|asagpa` rjph d `j|aopa`
ijga sabeagp odiia` d saopm|'
Pha iagbph mc pha aopm| |av|asagps pha edbgjpq`a mc
pha aopm| tqdgpjpz' Pha `j|aopjmg mc pha aopm| |av|asagps pha `j|aopjmg mc
pha aopm| tqdgpjpz'
8/2/2019 Obj. 23 Vectors (Presentation)
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Saopm|s
Jg d omm|`jgdpa vidga) d aopm| rjph jps ag`vmjgp dp pha
vmjgp(d) l* js r|jppag d) l) smq 5 d) l
Pha gqela|s d dg` l d|a phahm|j~mgpdidg` sa|pjodi omevmgagp
mc pha aopm|'
Pha vmsjpja dgbia lapraag pha
x%dxjs dg` pha aopm| js pha`j|aopjmg dgbia cm| pha aopm|'d
l
(d) l*
q
q 5 d) l
8/2/2019 Obj. 23 Vectors (Presentation)
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Edbgjpq`a dg` @j|aopjmg Dgbia
Pha edbgjpq`a mc pha aopm| q 5 d) l js bjag lz
Pha `j|aopjmg dgbia sdpjscjas
d
l
(d) l*
q
q 5 d) l
< Cjg` pha edbgjpq`a dg` `j|aopjmg dgbia cm|
q 5 1) 0'
Edbgjpq`a>
@j|aopjmg dgbia>
( *5 +<
@j|aopjmg dgbia>
045q
404'?5
8/2/2019 Obj. 23 Vectors (Presentation)
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Hm|j~mgpdi # Sa|pjodi Omevmgagps
Pha hm|j~mgpdi dg` a|pjodi omevmgagps) |asvaopjaiz) mc
d aopm| q hdjgb edbgjpq`a dg` `j|aopjmg dgbia d|abjag lz
q
omsd 5 q sjgl 5 q
8/2/2019 Obj. 23 Vectors (Presentation)
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Hm|j~mgpdi # Sa|pjodi Omevmgagps
Axdevia> Saopm| s hds edbgjpq`a 40'1 dg` `j|aopjmg
dgbia
8/2/2019 Obj. 23 Vectors (Presentation)
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Saopm| D``jpjmg
Pm cjg` pha sqe mc prm aopm|s d dg` l) ra vidoa pha
jgjpjdi vmjgp mc aopm| l dp pha pa|ejgdi vmjgp mc aopm| d'
Dgmpha| rdz pm cjg` pha sqe mc prm aopm|s js pm pq|g
phae jgpm d vd|diiaimb|de'
d
ld + l
d
ld + l
8/2/2019 Obj. 23 Vectors (Presentation)
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Saopm| D``jpjmg
Pha aopm| sqe mcd dg` l js odiia` pha |aqipdgpmc
aopm|s d dg` l'
\aodii phdp d vd|diiaimb|de js d tqd`|jidpa|di rhmsa
Mvvmsjpa sj`as d|a vd|diiai Mvvmsjpa sj`as d|a omgb|qagp
Mvvmsjpa dgbias d|a omgb|qagp
Omgsaoqpja dgbias d|a sqvviaeagpd|z
8/2/2019 Obj. 23 Vectors (Presentation)
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Saopm| D``jpjmg
Axdevia> Prm cm|oas mc ?< dg` 08 garpmgs dop mg d
vmjgp jg pha vidga' Jc pha dgbia lapraag pha cm|oas js 23)cjg` pha edbgjpq`a mc pha |asqipdgp aopm|'
? (d*q
+s
) (l*
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