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VECTOR CALCULUS e Pee he product -- Axbx9=G4-Ob -@zye 4EDot product of 2 vector *— ® 1 ~ > a A “a ae Tripple product 7 q: b-¢ = q-G xc) let A=aqisratrase SEE (lara fe > I A A Sq. 65°C = 2 9% b = bit byt + bak b, ba ba _ 1 2 >— Tie — > \ae = \a\ \b\ coco lela G = AUb,+Ibat+ Agbs | Cr G1 Cy \a\ - fot satya? Re {eee (@-) Find the qyeq of A whose vertices are A(3,-4,2) Q(4,-4,-2) £ c(4 -3,4) Note:- GW) FAKE axe orthogonal E : Hae 5 EG Area ot Az tlAR KA GO=ETAT ow grate ea eo ee A=21-F 428 A (8) Find the angle bln @= 31 C44 VE =25-sk C= 1-F-3% Ata nes (3,-4,2) eo | => ae = [Ai (b) cose S@=41-35_-¢ A orgs alaeged (2457 cose Ag = - 24 - - ne Shake cose = —* >O=2 Ret Res hora ek D-101-39 tae : {26 +223 3 a2; Sue¢ ‘ : (aj= ia | ee =| ‘ unit Go ea \ARK Ac| = \ro 44944 (4)? , along a pease ne 4 me = os —_ | be @ component ot b along @ = b (@) find the unit vector 4* +0 both the vectors 1-29432 ¢ T4808 Dia) 1 @ Component of 9 dong be = ob eee R | b r \A} (gi sing ean 4 ligisingA 3h = 183 4k 4 (8) Find +he comp of W) & oe BWI B along a \Aaxe| . Poot a2 ¢ = Hig +E Vector differential ; ea SWE WE @ velox) Nebla(y) = Teo Fr ae te Cross psoduct of 2 vector !- * Gisadient '- Scalat > Vector © axb= \aj(b)sinen e ae axb FOLY,3) > Sealer tn laxt \exb | eee ge qsadt = arf i+ atFey | b\| OK eb Os) A A o Ste ae ss 6 axe |i Bak se = i Se x Divergence: ~ Nestor =s Scala Bue Gaee2 eqL- ba jae an ba Ler t= f\\ \ ae ne evrf= Shed ok ETF AE @ Area of Ange = +| ABKAC m )f SAF ) 1 is % * eae - Llexs) 48 A e|y-P= aK 2A +O f+ fe F=o) =O [boi es Val 1b) si . |* Cunls — Vector 3 Vectox a @® Aveq of \ia) Bd = Axea of A\+ Area of An e TKR = ' 5 t : hs > co) OSS ET he @ freq of A\= +. Qbsino =1laxb| L/\2 4 OF BY 23] igtotational, consesvativd a £ f, £2, =A: In aro: @ Area of ilalgrn = 241= \FxBl gy, 
