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Ë³Ý ³ñï³Ñ³ÛïáõÃÛáõÝÝ»ñáí (m = a + m 0 , n = b + n 0 , p = c + p 0 ) ¨ ϳï³ñ»-<br />
Éáí å³ñ½³·áõÛÝ Ó¨³÷áËáõÃÛáõÝÝ»ñ, Ïëï³Ý³Ýù<br />
ax + by + cz − am 0 − bn 0 − cp 0 = 0<br />
ѳí³ë³ñáõÙÁ£ ÆëÏ ù³ÝÇ áñ am 0 + bn 0 + cp 0 + d = 0, ³å³ ëï³ÝáõÙ »Ýù<br />
ax + by + cz + d = 0<br />
ѳí³ë³ñáõÙÁ£ ²ÛëåÇëáí, ïí³Í ѳí³ë³ñáõÙÁ, Çñáù, ѳñÃáõÃÛ³Ý Ñ³í³ë³ñáõÙ<br />
¿£ »áñ»ÙÁ ÉÇáíÇÝ ³å³óáõóí³Í ¿£ ∇<br />
àñáß Ñ³ñÃáõÃÛáõÝÝ»ñÇ Ñ³í³ë³ñáõÙÝ»ñÇ ¹áõñë μ»ñÙ³Ý Ñ³Ù³ñ å³ñï³-<br />
¹Çñ ã¿ í³ñí»É ³ÛÝå»ë, ÇÝãå»ë ¹³ ³ñí»ó ûáñ»ÙÇ ³å³óáõÛóáõÙª ³ÛÝ ¿ª ·ï-<br />
Ý»É A ¨ A 0 Ï»ï»ñÁ ¨ Ñ»ïá ·ñ»É ѳí³ë³ñáõÙÁ£ ÈáõÍ»Ýù Ñ»ï¨Û³É ËݹÇñÁ£<br />
ÊݹÇñ.<br />
ñ»ù (1; 0; 0), (0; 2; 0) ¨ (0; 0; 3) Ï»ï»ñáí ³ÝóÝáÕ Ñ³ñÃáõÃÛ³Ý Ñ³í³ë³ñáõÙÁ£<br />
ÈáõÍáõÙ.<br />
ÆÝãå»ë ·Çï»Ýù, ѳñÃáõÃÛ³Ý Ñ³í³ë³ñáõÙÝ áõÝÇ<br />
ax + by + cz + d = 0<br />
ï»ëùÁ£ î»Õ³¹ñ»Ýù ³Û¹ ѳí³ë³ñÙ³Ý Ù»ç ïñí³Í Ï»ï»ñÇ Ïááñ¹ÇݳïÝ»ñÁ£<br />
Îëï³Ý³Ýù Ñ»ï¨Û³É ѳٳϳñ·Áª a + d = 0, 2b + d = 0, 3c + d = 0 áñÇó a, b ¨<br />
c-Ý Ï³ñáÕ »Ýù ³ñï³Ñ³Ûï»É d-áí ¨ ï»Õ³¹ñ»É ѳñÃáõÃÛ³Ý Ñ³í³ë³ñÙ³Ý<br />
Ù»ç£ d-Ç ï³ñμ»ñ ³ñÅ»ùÝ»ñÇÝ Ñ³Ù³å³ï³ë˳ÝáÕ μáÉáñ ³Û¹ ѳí³ë³ñáõÙ-<br />
Ý»ñÁ ÙǨÝáõÛÝ Ñ³ñÃáõÃÛ³Ý Ñ³í³ë³ñáõÙÝ»ñÝ »Ý£ ì»ñóÝ»Éáí, ûñÇÝ³Ï d =−6,<br />
Ïëï³Ý³Ýù 6x + 3y + 2z − 6 = 0 ѳí³ë³ñáõÙÁ£ ∇<br />
z<br />
O<br />
x<br />
y<br />
55
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