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Use Stokes Theorem to evaluate sta curl F. ds. F(x, y, z) = xyzi + xyj + x2yzk, S consists of the top and four sides (but no

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Given {(x, y, z) = xyzî t stakes thorom xy ĵ t ac²yz Nour From fp.dm . f curl F.23 Hene dr = dx? + dy ĵp dz k vertices of cu= Now For line AB dəc = 0, dy = 0, x=-3 „Z+-3 to +3_ry=-3 Sider ( (-3) ² (-3)z dz -3 -272 3 --3 27 (32) - (-3)² २ AB 2 =0 Now3)2 (3) =0 -27 २ RI[(3) For line DA 30 ~ 3 to -3, y = -3, Z=-3 dy=d2= = fFdh (3 (-3) xdx DA 11 59 {x? 2273 x O 10 2 {{3=33 SONote:- you can choose any right handed rectangular co- ordinate system.

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