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/?

>>4 so wrong.. it hurts.
>>1 correct.

just think of 4th dimension as time, and as such for any given function f(x1,x2,x3,x4) we get it possibly varying for x4 (time).
refer here for the answers!
www.tenthdimension.com/flash2.php