va z0 = -1 ni tenglama 7ga qo’ysak, bizda quyidagi tenglama hosil bo’ladi.
Interseptni topish uchun y = z = 0 deb olamiz va x = 6 degan javobni olamiz. Y – intercept 4 va z – intercept 3. Tenglama 7 qismlarini birlashtirib biz quyidagi formulaga erishamiz
![](data:image/png;base64,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)
Bu yerda Tenglama 8 x,y,z da chiziqli tenglama deyiladi. Shunga teskari ravishda, agar a,b,c nolga teng bo’lmasa tenglama 8 tekislikni normal vektor bilan ifodalaydi (a,b,c).
Masala 5
P(1,3,2), Q(3,-1,6) va R(5,2,0) nuqtalari orqali o’tuvchi tekislik tenglamasini yozing.
Javobi
a va b vektorlar PR va PQ ga nisbatan
Ular bitta tekislikda yotganligi uchun, a x b kesishma orfogonal va normal vektor sifatida qabul qilinishi mumkin. Shuning uchun
Do'stlaringiz bilan baham: |