# What does parity operation mean on a vector represented in polar form

Recently i studied vector's mathematical meaning (i.e the vectors transforms the same way as co- ordinate system) and our teacher introduced us to parity operation and how vectors transforms under it. A'=P A this operation changed both both x and y co-ordinates .I wanted to know how would parity operation look on a vector reprented by polar co-ordinate form

• What do you expect? The coordinate representation does change what the vector is or does. – JEB Sep 2 '18 at 16:39

The parity operation in cartesian coordinates $$x\rightarrow -x, y\rightarrow -y, z\rightarrow -z$$ corresponds to \begin{align} r &\rightarrow r\\ \theta &\rightarrow \pi-\theta \\ \phi &\rightarrow \phi + \pi \end{align} in spherical coordinates.