Evaluate the divergence and curl of the following vector

andyfreesty1e
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Homework Statement


Evaluate the divergence and curl of the following vectors.
A(r) is everywhere parallel to the y-axis with a magnitude A = cx + A0 , where c and
A0 are constants.


Homework Equations





The Attempt at a Solution


I can evaluate the div and curl, but i don't know how to work out what the actual vector is, so can anyone help me work out what the vector is?
 
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\vec{j} is "parallel to the y axis". \vec{i} is parallel to the x axis. So any vector that is "always parallel to the y axis" must be of the form A\vec{j}.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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