So I've been playing bass for awhile, and I play on a 5 string but I never really messed with Scales until recently.

I picked up a guitar and started learning how to play it, and I was finding that learning scales was really improving the way that I play, so the part where I get confused is here.

The names of the strings on the guitar are E B G D A E, the names of the string on my bass are G D A E B, so if the C Major Scale on guitar is

E------------------------0-1-3
B-------------------0-1-3-----
G---------------0-2-----------
D----------0-2-3--------------
A-----0-2-3-------------------
E0-1-3------------------------

Then would my C Major Scale on the 5 string be

G----------------------0-2
D----------------0-2-3----
A----------0-2-3----------
E-----0-1-3---------------
B0-1-3--------------------

?

Just in case anyone really doesnt understand what im asking, im asking if since I dont have a High B on the bass, would I start the scale on my B string and play it the same way i would on the guitar?

I figured It would becuase E and B are right next to eachother on guitar, but Would this rule only apply to the C major scale? or could I do this with all scales, instead of starting on E I would start on low B?

No, you'd go up on the G string and continue the scale from there by playing 4-5. You're right that you could continue it on the B string and play the same notes, but they'd be two octaves lower, so the correct thing to do would be to play 4-5 on the G.

by definition a scale with 3 in the name should start on a c??? aka the 1st fret on your b string.

G----------------------
D----------------------
A----------0-2-3-------
E-----0-1-3------------
B-1-3------------------