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Consider the triangle S in the plane 2 = 1 that has vertioes at the points (0,0,1), (11 0,1), [0,1,1]; and the vector field V
Consider the triangle S in the plane 2 = 1 that has vertioes at the points (0,0,1), (11 0,1), [0,1,1]; and the vector field V = ($y+a:z I] $231) - 3. Compute the curl of v. Enter your answer as a vector using the matrix button. VXV: ob sin [a] 3 f 55; oo o: [2 m] o b. Compute directly the integral 1/s (V xv). as, where the positive z direction is taken as the positive normal direction. Enter the value of this integral below. /s ( V xv). as = ab sin (a) f III ? axc. Now calculate Pci v . dr for 2 = 1, 2, 3, where each C; is one of the edges surrounding S. Enter the values of this integral for each i = 1, 2, 3: enter just three numbers, separated by commas. The order of your answers does not matter, but you should choose orientations compatible with the first part of this question. C1, C2, C3 = a sin (a) f DO ? ax
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