Tasavvur qiling, 3 xonali makondagi kesishadigan ikkita tekislik $ax + by + cz + d = 0$ va $a'x + b'y + c'z + d' = 0$ tenglamalarga ega. Bular uchta o'zgaruvchiga ega ikkita tenglamalar tizimini hosil qilgani uchun, ushbu tizimni hal qilish $(x,y,z) = (x_0, y_0, z_0) + (x_1, y_1, z_1) t$ yechimini beradi, $t$ erkin o'zgaruvchisi bilan, shuning uchun ikkita tekislikning kesishish chizig'i uchun parametrik tenglama.
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