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Problem 9 Prove the following identities where o and ø are scalar fields, and F and G are vector fields. Hint: Expand the LHS
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Let F = f,i + f₂.8 + Fg K; G=G, ita, itak and d=0(x, y, z), 4 = 4(x, y, z) a) V. (°F) al (i buti ng the ). (pe it pis it pronb ) T, fi F F3 Gi ی -1 (599- E362) 43 (554-569)+(56-557 tor, a F XG5 F2 Go + Then T: (FXG) ( F2 Gg - Fg (he) + (834,- F, G3)©) т. (үф хүY) Now Уфа Хоф ФФ Фу фо 1 t 0 29 – ф (... аа t оф + Ете 0x Фу OZ (о- (о 7, (офт хү) фе оф 18 Ф 20 оф. 0 фо О Ф .соф Ф-ф “ф Фxy (2. оф ау фо )- Т. 0x 27 Ozoҡ Ф 2 аф фе + ОФ (Ф. coyon Фу. Ф. + офор + оче ordy аф gyor coy. loz on 70 x Е. I) — vх(х) = ele ele 02 - 1 lof; of од оf ая- соб - 96 Фу OZ Фу lo fa ОВ Фу а КФ Фи . + 3 ofz (ОК, OF, (5 as) 1 а) - а 05) )

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