IKKI VEKTOR ORASIDAGI BURCHAKNI ANIQLASHDA VEKTOR INVARIANTLARI ASOSIDA YANGI FORMULA

Mualliflar

  • Hoshimova Dildora Zohidjon qizi Namangan davlat unversiteti
  • Maxmudova Dilnoza Xaytmirzayevna Namangan davlat unversiteti

Kalit so‘zlar:

vektor invariantlari, burchak, skalyar ko‘paytma, chordal masofa, yangi teorema.

Abstrak

Ushbu maqolada ikki vektor orasidagi burchakni aniqlash uchun klassik skalyar ko‘paytma formulasi umumlashtiriladi va vektor invariantlari asosida yangi burchak formulasi ishlab chiqiladi. Taklif etilayotgan yondashuv ikki vektorlar farqining normasi, ularning vektorlar yig‘indisi va skalyar invariantlardan foydalanadi. Natijada burchakni hisoblashda raqamli barqarorlik oshadi, kichik burchaklar uchun sezgirlik yaxshilanadi va ortogonal invariant shaklga ega bo‘ladi. Yangi teorema burchakning chordal masofa orqali ifodalanishini umumlashtiradi. Yondashuv kompyuter grafikasi, 3D geometriya va raqamli modellashtirish uchun qulay vosita hisoblanadi.

References

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Nashr qilingan

2025-12-08

Nashr

Jild 2 Nomeri 12 (2025): UNIVERSAL XALQARO ILMIY JURNAL

Bo'lim

Maqolalar

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Copyright (c) 2025 Hoshimova Dildora Zohidjon qizi, Maxmudova Dilnoza Xaytmirzayevna

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

IKKI VEKTOR ORASIDAGI BURCHAKNI ANIQLASHDA VEKTOR INVARIANTLARI ASOSIDA YANGI FORMULA. (2025). Universal Xalqaro Ilmiy Jurnal, 2(12), 26-29. https://universaljurnal.uz/index.php/jurnal/article/view/3779