Vector algebra for graduation, Lecture notes of Vector Analysis

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Bye: = (HG +43 + 2123) (al +i pea R) — (2+, Yo +2122) (3 f sd rea) = kha Pty ypitel sz2s0 PK PY Neh FAzoef Hy eSzah YJ 322k +2) 2623 2 — ~ Hse —areetel 2) 2axf By (RRO) =O T= Fil = A fill ty a region of apoce th whof g. — phyatiah .quanbily. ts all affennk of all pairks, ab a glen ace arin be LAND nagton of “apeel a phy yteak- AY PONSLIMD: dof valuer at Mifforunk poind... pes. Hore, well Leffieh mean the phyrtcal quantity mo be pine. vale, conkinuagy .% dopenete p D) Scalar, cok ft ty be region off Dpoce Ln white. — aoealir guankify 12 vA Afireh ob afl ritr.at pen mire grfent of Bie Ren Ld” sagton off Ap | ool : tly hy Lippe yale af hifgenont tra. a of, aichrie. gohertiel “ernie a a pia 7 Acai Sv oy Remprelre &n a-Te are >ealan | fempnabire lh > 3 33) | A pealan. Gill ty reprecnenlidl oh érapinany. 2imfaces lh kok nmpecra”' iin t ease gr the nwrfoce offoink by _— pointta alk auck pointy vdion Lhe. siohee ch rcalpr by Anges. 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Agual wo. of- Tor h eo finn a %— fon h rel | p.dingowl Mabie A aguane mabe vp wed hes] I. diogoral anak, of all ki von,-Abgonal demenky ane 300. — ‘ , ; js hog 6. dealan matric 4 Hiogenal mabe d on q| whore all Pe Aiogoral olewanl ane tgual y: = | pupil (bdokely malin A rquare, mabe & E oM | in whch digoral alemento, are wendy and ron _diogeroh red | ve ‘eh mere] | Oo/ dam | dana —mn om ZOU: ; | s-riongul. mabrt-() bn wppor Boongubr. volree, | ee bolows th Lod Atogorol ae 300, Ge pe Lown Brionguslor rabrit, alementy abou ble loove | dn Ce aad se Ae [he | ie: eral dhe, atm of- all Be dogo Dabber of a ayant Can if % - * iy a; ere Cee mut be i aes aie flab (44 A) PRAIA BA Vy axe 344” ye Axed Bx tbe WA t BxR LOH YY EG 4513 4GKF +t Te | +5 soiction of sirmelanceuy Lowen eguabiiony | esomph> rE thon op» | = gary | WK -3By 4AZ=6 ax-rAy 9277 pn-5y +0278 lag =8 fore Fey ae will Ba vei en hs B fo a 3 xX 16 ye, an cofecton mahteiye. Bei iS H -5 6} [2 8 or |Al = 2 (4xG—28) +3 Gre +20) + 4 (3x5) —4rh) =2 El) +335) +4 63) xf [Al =0 .. At dom ref =-2+/14 = /2H erntytard value of % YZ. =PaQto oad ean. cant be dabormine by mabrer method . Now finding cofaction mahtxef- fh. a] BS a a =Q-25= 71 F ~h 3] {yy {8 +20= 3g i 2a tA -| -2-| oe ey AAgA=|53 4 aa At | feag 4 22 : eters 2 Bie | eet? = Eigeneiaee ree sien tee chenackorfic volun, Lo A= Taide bo a dguare. mabe. ae n Phe no. A (red /eorple) 0 rath fo Ba og 2 vale fy rob neg tf Kow Lona 2xnb a coltmn malin. x! & ordln ax puck Phal. a a t & 0. iclomefoiabte value’ -. dipeads ox birch te ieee ' _ ee ‘ yl 1 0 yi he = 3 pa 7 a fg \ ei aah. hyrenial or) el | 2), 2 1 te > (x pale 3A. i. =a) a | fee | nsehenackonrtic 2g" eat = =O S\N gas = 2-74 “+ UA - me es i | ccchoockoaiic vali te ae.) |. a 5 prepeltd Inne eA wh eel pet 49) al 2. FO pymem a m4 ae 8 Fim orblog onal velit, fh mek value of igen Valu Hi Dy alvayy “arity ([Ad , las) fas) =2) 6d A UA .-— sy eae aia aloe» oh I)- Ale. eigen: nyaloea oh kA om, ip, iy oe, ee Kn 1D heer valioy of AM are Se LEO See Cue aud i 1) fhe ofgen valiny ah AT ane : a Yr? Ve Vy, pe it a, i > Frpentiot iy © +i | the. chiockoirtic ayn he ets at me foie ee Q N=5)At8a=0 whe, a Sim of principal, sige glomerle (Brace). = debooninont A (Jal) , fk enoile: ae aks Wh db 8 tag | de ob fatodl from eran Ji 5) 52h — 53,72 oe ee Sain ot pencil Airgnal olorert Ba a BA ml nord oe principal dtogorall aloe | 53= inl i a malt tp the win oe of a igi a ik by, aes > i Se 7 ae AR