Consider the given vector field. F(x, y, z) = (x + yz)i + (y + xz)j...

  

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Consider the given vector field. F(x, y, z) = (x + yz)i + (y + xz)j + (z + xy)k (a) Find the curl of the vector field. curl F = (b) Find the divergence of the vector field. div F = Consider the given vector field. F(x, y, z) = 3xyei + yzexk (a) Find the curl of the vector field. curl F = (b) Find the divergence of the vector field. div F = Consider the given vector field. F(x, y, z) = (x + yz)i + (y + xz)j + (z + xy)k (a) Find the curl of the vector field. curl F = (b) Find the divergence of the vector field. div F = Consider the given vector field. F(x, y, z) = 3xyei + yzexk (a) Find the curl of the vector field. curl F = (b) Find the divergence of the vector field. div F =