The Curl of the given vector field is zero.
Given vector field
f(x, y, z) =(x + yz)i + (y + xz)j + (z + xy)k
What is the curl of a vector field?
The curl is a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional space.
The Curl of the given vector field is calculated by the determinant shown below:
[tex]\begin{vmatrix}i j k \\ \frac{\partial }{\partial x} \frac{\partial }{\partial y} \frac{\partial }{\partial z} \\ (x+yz) (y+xz) (z+xy)\\\end{vmatrix}[/tex]
[tex]=i(x-x)-j(y-y)-k(z-z)[/tex]
[tex]=0[/tex]
Thus, The Curl of the given vector field is zero.
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