Ẓeṛ aɣbalu n Amaway (tusnakt d tfizikt )

[[Tugna:Vector addition explain.svg|vignette|amalay]]
<big>'''Amaway''' d tɣawsa tagejdant deg tusnakt, ladɣa deg tanzeggit tusliḍt d tusna n yigazen. Yettwaɛqal s teɣzi-ines d tanila-ines.</big>

== <big> '''Tadabut'''</big> ==
<big>'''Amaway''' d tɣawsa tusnakt yesɛan teɣzi d tanila. Yezmer ad yettwammel s useqdec n yimsidag deg unagraw n yimsidag, neɣ s useqdec n teɣzi d yikusinusen inilayen.</big>

== '''<big>Imawayen tigget</big>''' ==
<big>Llan kraḍ n yimawayen tigget deg unagraw n yimsidag s kraḍ n tsektiwin:</big>

* <big>𝑖 = (1,0,0)</big>
* <big>𝑗 = (0,1,0)</big>
* <big>𝑘⃗ = (0,0,1)</big>

<big><br />
Yal amaway tigget yesɛa teɣzi n 1:</big>

<big>|𝑖 | = |𝑗 | = |𝑘⃗ | = 1</big>

== <big> '''Imsidag n umaway'''</big> ==
<big>Amaway 𝑢⃗  yezmer ad yettwammel s yimsidag-ines:</big>

<big><math>\vec{u} = ( X , Y , Z)</math></big>

<big>Anda X, Y, d Z d imsidag n umaway 𝑢⃗  deg unagraw n yimsidag s kraḍ n tsektiwin.</big>

== <big> '''Teɣzi n umaway'''</big> ==
<big><br />
Teɣzi n umaway 𝑢⃗  tettwasuḍen s:</big>

<big><math>|\vec{u}|  =\sqrt{X^2 + Y^2 + Z^2 }</math></big>

== <big> '''Tiɣmert gar sin n yimawayen'''</big> ==
<big><br />
Tiɣmert θ gar sin n yimawayen 𝑢⃗  d 𝑣  tezmer ad tettwammel s:</big>

<big>cos θ = (𝑢⃗  · 𝑣 ) / (|𝑢⃗ | |𝑣 |)</big>

<big>Anda 𝑢⃗  · 𝑣  d afaris n sin yimawayen.</big>

== <big> '''Timernit n yimawayen'''</big> ==
<big>Timernit n sin yimawayen 𝑢⃗  d 𝑣  tettili s tmernit n yimsidag-nsen:</big>

<big>𝑢⃗  + 𝑣  = (X1 + X2, Y1 + Y2, Z1 + Z2)</big>

<big>Timernit n yimawayen tesɛa sin yisuḍaf igejdanen:</big>

# <big>Asaḍuf n tsunfelt: 𝑢⃗  + 𝑣  = 𝑣  + 𝑢⃗</big>
# <big>Asaḍuf n tsedrewt: (𝑢⃗  + 𝑣 ) + 𝑤⃗  = 𝑢⃗  + (𝑣  + 𝑤⃗ )</big>

== <big> '''Tukksa n yimawayen'''</big> ==
<big>Tukksa n yimawayen tettili s tukksa n yimsidag-nsen:</big>

<big>𝑢⃗  - 𝑣  = (X1 - X2, Y1 - Y2, Z1 - Z2)</big>

== <big> '''Amaway gar sin yigazen'''</big> ==
<big>Amaway gar sin yigazen A(x0, y0, z0) d B(x1, y1, z1) yettwaḥsab s:</big>

<big>𝑟  = 𝐴𝐵⃗⃗⃗⃗⃗ = (x1 - x0)𝑖  + (y1 - y0)𝑗  + (z1 - z0)𝑘⃗</big>

<big>Teɣzi n umaway-a tettwaḥsab s:</big>

<big>|𝑟 | = |𝐴𝐵⃗⃗⃗⃗⃗ | = √((x1 - x0)² + (y1 - y0)² + (z1 - z0)²)</big>

== '''<big>Ikusinusen inilayen</big>''' ==
<big>Ikusinusen inilayen n umaway 𝑟  d:</big>

* <big>cos α = X / |𝑟 |</big>
* <big>cos β = Y / |𝑟 |</big>
* <big>cos γ = Z / |𝑟 |</big>

<big>Anda X, Y, d Z d imsidag n umaway 𝑟 .</big>

== <big> '''Iseqdacen n yimawayen'''</big> ==
<big>Imawayen ttwafen deg waṭas n yisenfaren n tusna d tejjunant:</big>

# <big>Deg tanzeggit: i usenmel n yiɣallen, izirigen, d yiglayanen.</big>
# <big>Deg tusna n tmacinin: i usenmel n umussu d tɣawla.</big>
# <big>Deg tusna n yiḍummen: i usenmel n uḍummu n yigazen.</big>
# <big>Deg tusna n trisiti: i usenmel n wurti arisdan d wurti akamyan.</big>
# <big>Deg tusna n yiɣersiwen: i usenmel n umussu n yiɣersiwen.</big>
[[Taggayt:Tusnakt]]
[[Taggayt:Tafizikt]]