# Electric field due to a point charge

In my book it's written

Electric field due to a point charge is inversely proportional to $1/r^2$... This means that at all points on the spherical surface drawn around the point charge, the magnitude of $\vec E$ is same and doesn't depend on the direction of $\vec r$... Such a field is called spherically symmetric or radial field, i.e., a field which looks the same in all directions when seen from the point charge.

Now, why did they say magnitude of $\vec E$ doesn't depend on direction of $\vec r$? Also I will be glad if you could explain in simple English.

Picture of the full page

It's helpful that the posted image is sideways, because it already shows the answer: as you rotate the coordinate system, and advance by the same distance, $r$, everything looks exactly the same. This is true if you rotate in the plane of the table, or if you hold the page against a wall and rotate it.