v. Agar chiziq r1 nuqta bo’ylab o’tsa, v = r1 – r0 ga erishamiz va shuning uchun vektor tenglamasi
r0 va r1 nuqtalar orasidagi chiziq segmenti 0 < t < 1 parametr intervalida berilgan.
Masala 3
L1 va L2 chiziqlarni parametrik tenglamalarini yozing.
lar to’gri chiziqlar, ular kesishmaydi va parallel ham emas. Shuning uchun ham bitta tekislikda yotmaydi.
Javobi
Ikkita chiziqlar parallel emas, chunki vektorlar (1,3,-1) va (2,1,4) parallel emas. Agar ularning kesishish nuqtalri bo’lganda, t va s qiymatlari quyidasicha bo’lardi.
Agar shu tenglamalarni ishlasak, va qiymatlarga ega bo’lamiz. Lekin, bu qiymatlar uchinchi tenglamani qanoatlantirmaydi. Shuning uchun ham ularning kesisish nuqtasi yuq. ![](data:image/png;base64,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)
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