Question

ques

Answer 1

Why is
\[\nabla.\vec A \neq \vec A.\nabla\]
Consider
\[\vec A=A_{1}i+A_{2}j+A_{3}k\]
then
\[\nabla . \vec A=(\frac{\partial}{\partial x}i+\frac{\partial}{\partial y}j+\frac{\partial}{\partial z}).(A_{1}i+A_{2}j+A_{3}k)\]\[\nabla . \vec A=\frac{\partial A_{1}}{\partial x}+\frac{\partial A_{2}}{\partial y}+\frac{\partial A_{3}}{\partial z}\]
Why wouldn't \[\vec A . \nabla\]
give the same result?Isn't it a dot product