This is the first guide that I have written on Mobafire so please bare with me.
This is the way that I prefer to play vayne, quick burst damage at low levels for the easy kills. This build will utilize quick burst damage at low levels assuring easy kills.

PLEASE TRY OUT THIS BUILD BEFORE COMMENTING/DOWNVOTE

For runes I usually run attack damage quints Greater Quint of Strength, armor pen marks Greater Mark of Desolation, flat attack damage seals , and attack speed glyphs .


ALTERNATIVE RUNES CAN BE :
if you need the extra armor
for those casters early game
Greater Quintessence of Desolation if you want more armor penetration.

For items I like to start off with dorans blade OR boots and 3 potions . Dorans blade is nice for the damage and health. Personally, I like to go boots and 3 potions if I am solo queueing or if I am playing without a support. And dorans blade if I am with a support.

Personally, I get 2 dorans blade before bloodthirster (somewhere in between I build my berserker's greaves ). If I am doing good early game and have a couple of kills I rush the bloodthirster right away.

Next, I buy phantom dancers Phantom Dancers for the attack speed and movement speed. Phantom dancer is a GREAT item on Vayne, it will help her chase down enemies. PD, her passive , her ultimate , and Exhaust .. only a few will escape from you. (I REPLACE PD WITH SOTD IF THE ENEMY TEAM HAS A JAX )
Afterwards I get a banshee veil if they have HEAVY cc, if not I will go for a infinity edge or vise versa.

My last item is a situational item, if the enemy team is stacking a lot of armor I will get a Last Whisper . if not I like to use black cleaver

Night Hunter (Passive)
Vayne ruthlessly hunts evil-doers. She gains 40 movement speed when running TOWARDS an enemy.
GREAT for chasing down enemies for the kill.
Q : Tumble
Vayne tumbles, maneuvering to carefully place her next shot. She rolls toward the cursor doing 40/45/50/55/60% bonus damage.
Great chasing skill and the extra damage is nice. Try using this skill right after auto attacking because it resets your attack timer.
W : Silver Bolts
Vayne tips her bolts with a rare metal, toxic to evil things. The third consecutive attack or ability against the same target will deal 20/30/40/50/50 additional damage plus 4/5/6/7/8% of the target's maximum health as bonus TRUE DAMAGE.
Basically, every 3rd attack you will do more damage as well as true damage, this is a great skill against high health enemies.
E : Condemn
Vayne draws a heavy crossbow from her back, and fires a huge bolt at her target, dealing 45/80/115/150/185(+0.5 per bonus attack damage) physical damage and knocking them back. IF THEY COLLIDE WITH TERRAIN, they are impaled, dealing 45/80/115/150/185(+0.5 per bonus attack damage) bonus damage and stunning them for 1.5 seconds.
Knockback with bonus damage and a stun?! How great is that.
R : Final Hour (Ultimate)
Readying herself for an epic confrontation, Vayne gains 25/40/55 increased attack damage, 1.5 second stealth during Tumble, and triple the bonus movement speed from Night Hunter lasting 8/10/12 seconds
In my opinion, one of the best skills in the game. Bonus attack damage, movement, and stealth when you tumble?! Great for chasing down enemies and escaping.

At level 1 I like to get a point into condemn. If you successfully condemn a enemy into the wall at level 1 with a few auto attacks while they are stunned, you will take away AT LEAST half of their health bar.

I prioritize Condemn first because of the burst damage it has early game. At level 9, with condemned maxed, you can do up to 500 damage in a single burst. That is A LOT!

Next I max out Tumble (Q) for the extra movement and damage.
I max out Silver Bolts (W) last because in a team fight it is rare that you will proc the true damage.

For summoner spells I like to run Exhaust and Flash
Flash is a great spell on any champion, that combined with tumble and you are in the clear!
Exhaust is also a great spell on vayne for enemies that are running away or for when running away from an enemy.

Other spells that can be replaced with Exhaust are Ghost for chasing/running away. Ignite can be a viable choice as well for the extra damage early game assuring the kill.

Team work is the KEY to winning. With great teamwork you can almost usually win all of your games.
Vayne excel with support champions with knockbacks and stuns. Champions such as , , , , , etc.

Laning with a support champion is the best way to play Vayne, you will get free farm.
Farming = more items = better items = beat enemy.

Useful tips for playing Vayne are telling you teammate to buy wards sight ward and placing them in the river (in case they have a jungler, better safe than sorry!), and the bushes in lane.
Having wards in the lane bushes is a great way to condemn unexpecting enemies hiding in the brush.

As I started before : Farming = more items = better items = beat enemy.
Farming is key to Vayne as well as any other carry. Usually you should farm up until you can buy a BF sword, or until you have to go recall. If you have to go back before you have enough money for a BF sword, you can buy boots (or upgrade them, depending on what you bought first) and as well as a doran's blade, or 2.

I hope you enjoy my build. Please comment on how I can improve on this guide as well as my build.
Please only rate when you have actually tried the build and not just look over it and say that it is bad.