~ "a", ~inv t1f ~ ~ ~ee 4/It;a tl ,()~ ~~. {)~:.(t ~ ~~ <~f~> f#V 4. cetar pr()duct of (;~ veeéor Ortogona e 'vectOt;S t>rt~o10tJa. e, (f V..ecto~s "11 U.il.1 řřřt Ut- ate < ",', ~l > =- O fOtr ai! t ':j:d '. ~rtlhl hl - Schhlld6 tJrVot(Ohd J/;!J:J t(on I tet t(f, "2/,.,114:. be IIHe~t'/'d Ihltepenlllent IH VI, Tnen bhe~e Qre=! flh(ttlel'd a'e6ďhllHo::>l ~rth'?'l0Nl/ veceors "1/ V~/"" v, cuch thttl: V1 :. u, '12,. :: "2 - 4" Vf v~ ':. "-s - 1,1 V1- h~Vz. ... _-- ... _ .... _ ... Vk.. ::. li i:. - Ct Vf - ,,~ li~- -.. - o. v. ~ Ic-, '-f' II; lt1ealfg él1a.t;; for "near hlllls fJ?e hQlle C V'I Vz-" -', v,l = L-~ ti ~~.] , ",(, ZI"1~( toV' a1/ t é {1, 2, "', Ic.j , -P".oo!::.." ]~ l'ndltctÚm, I;uppose We h~ve Ot' tI10t;o~at vII Vz" "V,', Theltl \/(tl :::. ~ tll-tf -ci, v.,- dzfI~-., . -dt'~' fOroducé wt'th VI tj/ves, ... - tlI -~2-::· ci1 - o =: Soda+ ® S/ml·la.t{~ We compute 0121.0'1 dť, E a hl pe: Ih 7R a fOl'" ~ bkl ml#! - &J1HttiJ{.f: O~ tOIjOHtl (~6('o~ e>11 veetor.s tf 1 = (-t, 11o, u2. =- (~ 2~V I tf A -= ("ft." 2 Ortl?o#10rmtl. c ti. Í::els(s (li'i (,{.,., " Wh) O foV' ľ*{ /f f.o r ť;::.d ' SUCh tha /:; [hed>reh1 Let :::-(""1 t1J.1 " 14,,) e 411 Ot-{;hOhotortlll! bascs a'.. u. rhe~ (1) &he GC70V()/(111t (;es tlr a l'eetoV' H IH the ~S(.$ rI- are (M..)..! "" « 4-, /ti,>I <(,{,U~>, ' 'I «"1, "'1/>) r (i.) the ecaiar Pr-OdHCf; of ~ect()V'~ H aN:J{v ".., -t hec 00 tol (htl &~ tf) f- rJ.. "s - '1-1 ~ 1 T lt~~ -t " T)I •••.~"" ~ ('~/,.", 'li••) , ( t) = '"r. li ~~ ('1.1("" h)T I (~oL :: (~11"" '3••)T, • NotA tlD" tl1e Ctlhiuf(4.te. nUJ1f,ber fs ® If 2- rs rea I ~ &hel1 Ot'thf!t0t'lať, eomplemel1t- VJ. -60 Q r~éor • c« bs~ce V ~ tA 'S lhe vedor CIA bSf'2ce V.l.. = (w e- t1 : (~Vé V) ~ oj rheD~e~ V..L whth tlCCO'i"tťJtlf (;o deft"ntl:;ťol'l mea~ 1) V'Vf 6- Vf =:1 Ve V ~WéVJ... k -'v-tW ~ V V.J..::=. {o?}. ne coHd,·(;-ľol1 C~ ~~d ~ ar-e Q(v4IeHt- t-o 1;h-e co ha,t;-"()Y1 !v é V ( e> é v.L U == Vt-It/ . .I II1ea HS ; q éhere t' ius I; (!;) Ne ~~ E~tUffple. Jh '1 we have a S:lIbs;pa.ce. V ~ 1. 'X é- 1f('t ti- x(+ b y.~+ c..~.l-toly.., =- O) I w"'e~e..- (a, ,.I.,c, d) =I' tO,4(),tJ). eOHlfllte a.11 (),.(;hpl'n~ ? :IA --;> V StA ch tht:l é- for e~e~'t" lit G l1 11 = -p", ...,. w - 'Pil) Where -p(;f e: V Cl.,()/ IA- "f é': V..L ~o hav"lf~ aecoi« jQO J; ('tlO 1'1 14 =- V T W I V eS- ~ ~ 6- vJ... bHevt lit =- v. I t ť s q I,' tlea. r I1t Q. f . {'oWI e'f, ba.,b(f)~ &> f: Ort hOt_()_h_Q._e,_~fa_re>....;/~e_ct_I_O_I1_.• Le I:; V =- CU1, Hz., .. , Uft:. J ~ fA . Fhen we loDI!... e ~ tA ľM -&he form 'PL1 == a1ů 1 l' t:lz,Lť ~ -t .. ..,...q~(,(,,ant?! we wa.u I::Ú - III G \/.J... ~o ws. qet a: 'd~tem u11 t.now ,'.e. IA- tA L U11{,fZ./··./~"o;' "- efjll4 t-10#1 .po a., 1-1·" t(t::.. k.. s».« I -, > - OC.:A1 ev E'itJiHfJ/e Com 1"11/:;e orthoťol1t:l. e prOJBV&/(;J! o f tke veetor ~ ~ 1, 2, 3,It,S) (tJ JR&- ,'., &0 &-he StA S)'>a C.e V = [ 3, 3,2, 1,*3 (~A L A)~7I I " 7,-'I,~I ~ • Le~ ~'n/;0 a V ecbov -rrorev-fiťes of Otthogohtl e, ťrDictlolJ : U-~ V l>e ah ot~OHa.e proJectťoVJ au spac.e V. The~ III (s f;ke oll/~ w,'bh & e r o IPQrt'(Y ~ - ~ J -= !»lI' { -v ve-V) .. v - /,t- U, w- w) rt < w-v, u- f>t U-v tJ-v>, .::::.0 - I (..(- 1-1l f I fu -li J 4 ~ 'tA - w II2The et(ua,//I;t/ occerc (ilJ~ f; f.Pť' V.=.-Ptl