Amaway (tusnakt d tfizikt )

Amaway d tɣawsa tagejdant deg tusnakt, ladɣa deg tanzeggit tusliḍt d tusna n yigazen. Yettwaɛqal s teɣzi-ines d tanila-ines.

  Tadabut 
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.

 Imawayen tigget 
Llan kraḍ n yimawayen tigget deg unagraw n yimsidag s kraḍ n tsektiwin:

 𝑖 = (1,0,0)
 𝑗 = (0,1,0)
 𝑘⃗ = (0,0,1)

Yal amaway tigget yesɛa teɣzi n 1:

|𝑖 | = |𝑗 | = |𝑘⃗ | = 1

  Imsidag n umaway 
Amaway 𝑢⃗  yezmer ad yettwammel s yimsidag-ines:

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

  Teɣzi n umaway 
Teɣzi n umaway 𝑢⃗  tettwasuḍen s:

  Tiɣmert gar sin n yimawayen 
Tiɣmert θ gar sin n yimawayen 𝑢⃗  d 𝑣  tezmer ad tettwammel s:

cos θ = (𝑢⃗  · 𝑣 ) / (|𝑢⃗ | |𝑣 |)

Anda 𝑢⃗  · 𝑣  d afaris n sin yimawayen.

  Timernit n yimawayen 
Timernit n sin yimawayen 𝑢⃗  d 𝑣  tettili s tmernit n yimsidag-nsen:

𝑢⃗  + 𝑣  = (X1 + X2, Y1 + Y2, Z1 + Z2)

Timernit n yimawayen tesɛa sin yisuḍaf igejdanen:

 Asaḍuf n tsunfelt: 𝑢⃗  + 𝑣  = 𝑣  + 𝑢⃗
 Asaḍuf n tsedrewt: (𝑢⃗  + 𝑣 ) + 𝑤⃗  = 𝑢⃗  + (𝑣  + 𝑤⃗ )

  Tukksa n yimawayen 
Tukksa n yimawayen tettili s tukksa n yimsidag-nsen:

𝑢⃗  - 𝑣  = (X1 - X2, Y1 - Y2, Z1 - Z2)

  Amaway gar sin yigazen 
Amaway gar sin yigazen A(x0, y0, z0) d B(x1, y1, z1) yettwaḥsab s:

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

Teɣzi n umaway-a tettwaḥsab s:

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

 Ikusinusen inilayen 
Ikusinusen inilayen n umaway 𝑟  d:

 cos α = X / |𝑟 |
 cos β = Y / |𝑟 |
 cos γ = Z / |𝑟 |

Anda X, Y, d Z d imsidag n umaway 𝑟 .

  Iseqdacen n yimawayen 
Imawayen ttwafen deg waṭas n yisenfaren n tusna d tejjunant:

 Deg tanzeggit: i usenmel n yiɣallen, izirigen, d yiglayanen.
 Deg tusna n tmacinin: i usenmel n umussu d tɣawla.
 Deg tusna n yiḍummen: i usenmel n uḍummu n yigazen.
 Deg tusna n trisiti: i usenmel n wurti arisdan d wurti akamyan.
 Deg tusna n yiɣersiwen: i usenmel n umussu n yiɣersiwen.
Taggayt:Tusnakt
Taggayt:Tafizikt