Verifying the correct value of 3D Flux












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I am attempting to calculate the 3D flux of the vector field $vec{F} = 3xvec{i} + 3yvec{j} + 2zvec{k}$ through the triangular surface bounded by the $(x, y, z)$ coordinates $(3, 0, 0)$, $(0, 3, 0)$, $(0, 0, 4)$. I got $48$ as my answer, but I just wanted to make sure, as I don't have a ton of experience calculating these types of integrals.










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    $begingroup$


    I am attempting to calculate the 3D flux of the vector field $vec{F} = 3xvec{i} + 3yvec{j} + 2zvec{k}$ through the triangular surface bounded by the $(x, y, z)$ coordinates $(3, 0, 0)$, $(0, 3, 0)$, $(0, 0, 4)$. I got $48$ as my answer, but I just wanted to make sure, as I don't have a ton of experience calculating these types of integrals.










    share|cite|improve this question











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      0












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      0





      $begingroup$


      I am attempting to calculate the 3D flux of the vector field $vec{F} = 3xvec{i} + 3yvec{j} + 2zvec{k}$ through the triangular surface bounded by the $(x, y, z)$ coordinates $(3, 0, 0)$, $(0, 3, 0)$, $(0, 0, 4)$. I got $48$ as my answer, but I just wanted to make sure, as I don't have a ton of experience calculating these types of integrals.










      share|cite|improve this question











      $endgroup$




      I am attempting to calculate the 3D flux of the vector field $vec{F} = 3xvec{i} + 3yvec{j} + 2zvec{k}$ through the triangular surface bounded by the $(x, y, z)$ coordinates $(3, 0, 0)$, $(0, 3, 0)$, $(0, 0, 4)$. I got $48$ as my answer, but I just wanted to make sure, as I don't have a ton of experience calculating these types of integrals.







      calculus multivariable-calculus






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      edited Dec 11 '18 at 1:07







      Jack Ceroni

















      asked Dec 11 '18 at 0:43









      Jack CeroniJack Ceroni

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