TEKISLIK USTIDA YOTUVCHI CHIZIQLAR OILASINING ANALITIK GEOMETRIYADAGI TAVSIFI
Keywords:
Kalit so‘zlar: chiziqlar oilasi, tekislik, normal vektor, parametrik tenglama, determinant, yo‘nalish vektori.Abstract
Annotatsiya: Ushbu maqolada bir tekislik ustida yotuvchi chiziqlar oilasining
analitik geometriyadagi umumiy tavsifi beriladi. Tekislik tenglamasiga mos keladigan
normal vektor va shu tekislikka tegishli nuqtalar orqali chiziqlar oilasining vektorial,
parametrik va determinantli ifodalari keltiriladi. Yangi teorema sifatida tekislikdagi
barcha chiziqlar bir normalga perpendikulyarligi hamda ularning yo‘nalish
vektorlarining normal bilan skalyar ko‘paytmasi nolga teng bo‘lishi zarur va yetarli
shart ekani isbotlanadi. Natijalar sirt geometriyasi, proyeksiya nazariyasi va fazoviy
modellashtirishda qo‘llanilishi mumkin.
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