Divergence and curl of a vector field


Question:

Divergence and Curl of a Vector Field

1. Consider the vector field v(x,y,z)=(x2,-yx,z-xz).

(a) Compute the divergence and curl of v.

(b) Show that v is neither the gradient of a function nor the curl of a C2 vector field.

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Mathematics: Divergence and curl of a vector field
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