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"ohgkscjuohrpcyskms.kg" 8
\craa lkoagskbghn `aboatryMbbrlkghta bd h pbkgt kg sphma\cara hra kgdkgkta guoear bd pbkgts kg sphma. P a whgt tb klagtkdy ahmc hgl avary pbkgt bd sphma wktc tca canp bd
tcraa outuhnny parpaglkmunhr mbbrlkghta hxas BS, B[ hgl BY.
\craa outuhnny parpaglkmunhr nkgas BS, B[, BY hra mbgsklaral hs tca tcraa hxas.
\ca pnhga dbroal wktc tca canp bd x & y hxas ks mhnnal x-y pnhga, skoknhrny y & z hxas dbro y-z pnhga hgl z & x
hxas dbro z - x pnhga.
Mbgsklar hgy pbkgt V kg tca sphma, Lrbp h parpaglkmunhr drbo tcht pbkgt tb x -y pnhga, tcag tca hn`aerhkm nag`tc
bd tcks parpaglkmunhr ks mbgsklaral hs z-mbbrlkghta hgl drbo dbbt bd tca parpaglkmunhr lrbp parpaglkmunhrs tb x
hgl y hxas. \casa hn`aerhkm nag`tcs bd parpaglkmunhrs hra mbgsklaral hs y hgl x mbbrlkghtas raspamtkvany.
Tamtbr raprasagthtkbg bd h pbkgt kg sphmaKd mbbrlkghta bd h pbkgt V kg sphma ks (x, y, z), tcag tca pbsktkbg vamtbr bd tca pbkgt V wktc raspamt tb tca
shoa brk kg ks xk + yi + z j .
Lksthgma dbrounhLksthgma eatwaag hgy twb pbkgts (x
8, y
8, z
8) hgl (x
5, y
5, z
5) ks `kvag hs
558
558
558 )zz()yy()xx(
Tamtbr oatcblPa jgbw tcht kd pbsktkbg vamtbr bd twb pbkgts H hgl E hra `kvag hs BH hgl BE tcag
HE ? | BE BH|
HE ? |(x5k + y5 i
+ z5 j) (x
8k + y8i + z
8 j)|
HE ? 585
585
585 )zz()yy()xx(
Lksthgma bd h pbkgt V drbo mbbrlkghta hxasNat VH, VE hgl VM hra lksthgmas bd tca pbkgt V(x, y, z) drbo tca mbbrlkghta hxas BS, B[ hgl BY
raspamtkvany tcag
VH ? 55 zy , VE ? 55 xz , VM ? 55 yx
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"ohgkscjuohrpcyskms.kg" 5
Axhopna # 8 9 ]cbw tcht tca pbkgts (6, 0, 86), ( 8, 4, 4) hgl (
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"ohgkscjuohrpcyskms.kg" =
(=) Dkgl tca nbmus bd pbkgt V kd HV5 EV5 ? 83, wcara H (8, 5, =) hgl E (=, 5, 8).
Hgswars 9 (8) (8, 5, 1), (=, 5, 1), (=, 5, =), (8, 1, 1), (8, 1, =), (=, 1, =), (=, 1, 1).
(=) 5x
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"ohgkscjuohrpcyskms.kg" 6 brk`kg nkas kg hmuta hg`na
Dhokny bd pnhgas(k) Hgy pnhga phsskg` tcrbu`c tca nkga bd kgtarsamtkbg bd gbgphrhnnan pnhgas br aquhtkbg bd
tca pnhga tcrbu`c tca `kvag nkga kg gbg syooatrkm dbro.
h8x + e
8y + m
8z + l
8? 6 & h
5x + e
5y + m
5z + l
5? 6 ks
h8x + e
8y + m
8z + l
8+ (h
5x + e
5y + m
5z + l
5) ? 6, wcara U
(kk) \ca aquhtk bg bd pnhga phs sk g` tcrbu`c tca k gtars am t kbg bd tca pnhgas r
. 8g
? l8
& r
. 5g
? l5
ksr
. (g8+ 5g
) ? l
8 l
5wcara ks hrektrhry smhnhr
Axhopna# 58 9\ca pnhga x y z ? < ks rbthtal tcrbu`c ;6 hebut kts nkga bd kgtarsamtkbg wktc tca pnhgax + y + 5z ?
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"ohgkscjuohrpcyskms.kg" 83
br, j ?8
