Are 'a line perpendicular to a plane' and `plane perpendicular to a line` the same thing?

Question

I know what a line perpendicular to a plane is, but what I have in my mind as a 'plane perpendicular to a line' would look something like this:

The plane can rotate around the line and the line is essentially an axis.

Is it right?

Answer 1

The figure you plotted, shows the case where a plane contains a line not perpendicular to it since a plane is infinite in all directions. Given a lie, a perpendicular plane is the one that contains two distinct lines perpendicular on the primary one (I assume your intuition of two normal lines is complete).