The mysterious 4th dimension

Imagine we have a 2D plane-what would be the axis of the next,third dimension?Let's draw a line perpendicular to that plane.It's obvious that this line would be also perpendicular to every possible line in that plane,and also It's parallel to the third axis.
Now-wouldn't the axis of the 4th dimension have to be perpendicular to every possible line in 3D space?Is my reasoning correct,/sci/?

Time isn't the 4th spatial dimension.  There are the three distance dimensions that we perceive, x y and z.  Time is not a distance.  The 4th dimension is called w, and due to our existence in 3 dimensions we can't visualize the 4th or higher dimensions.