How would you go about proving:
Curl(f(r)R) where R is the position vector x^(2)i +y^(2)j +z^(2)k
I know it should equal zero but once Ihave it in its components I am struggling to make them equal zero.
Thank you
so basically the curl is evaluates to $\displaystyle \begin{bmatrix}\frac{\partial}{\partial{y}}z^2 - \frac{\partial}{\partial{z}}y^2 \\ \frac{\partial}{\partial{x}}z^2 - \frac{\partial}{\partial{z}}x^2 \\ \frac{\partial}{\partial{x}}y^2 - \frac{\partial}{\partial{y}}x^2 \end{bmatrix} $ which is clearly $\displaystyle \begin{bmatrix} 0\\0\\0 \end{bmatrix} $