Ok, so to start compute \nabla A which will just be (\frac{\partial}{\partial x}\vec{A},\frac{\partial}{\partial y}\vec{A},\frac{\partial}{\partial z}\vec{A})
You will end up with a scalar, which you can multiply by your scalar \phi and you should end up with xy^2z.
Homework Statement
Show, by direct examination of the Frobenius series solution to Legendre's differential equation that;
P_n(x) = \sum_{k=0}^{N} \frac{(-1)^k(2n-k)!} {2^n k! (n-k)! (n-2k)!}x^{n-2k} ;\ N=\frac{n}{2}\ \mathrm{n\ even,}\
N=\frac{n-1}{2}\ \mathrm{n\ odd}
Write down the first...