Can I see which of the legendary swords I picked when I completed the quest with Shaxx?

I have 3 characters in Destiny and I've just completed the mission step for the exotic sword where I had to do 500 kills with arc abilities and gather 10 rare materials from Spinmetal on earth, on my Warlock.

On my 2nd character I picked up a legendary sword as well but this character is now at the PvP step. After picking up the sword on that character, at some point I purchased the 3rd sword from Shaxx, a feature that became available with Taken King I think.

The question now is. On my 3rd character I have turned in the materials with Shaxx and I'm ready to pick the legendary sword. In order to get exotic versions of all swords I need to pick the type I purchased, so that on each character I've picked a different kind.

I can't remember which one I picked on my 2nd character and which one I bought, however.

Is my only option to complete the PvP step on my 2nd character so that I can see which kind of ability I need to use, or is there some information somewhere that shows me what I picked?

Summary:

1. My warlock picked the arc sword when he turned in materials with Shaxx
2. My titan picked either void or solar when he got to that point
3. I later then purchased either void or solar to complete the two I already had
4. Can I see somewhere now which one I picked on my 2nd character, or do I need to wait for the ability-step to see which ability I need to use?

To clarify for comment

1. I have all 3 legendary swords, none exotic yet
2. On my Warlock (1st character) I just now completed the step where I had to gather 10 rare spinmetal items and kill 500 mobs with Arc abilities, this is clearly for the Arc exotic sword.
3. On my Titan I am on a previous step, where I now have to kill 25 people with Sword in PvP, this is before the ability-step
4. I purchased the 3rd sword to complement the two I then had but I cannot remember which one I picked from Shaxx on my titan and which one I subsequently purchased. Either I picked Void on my titan and then purchased the solar sword, or vice versa.
5. Can I see which one I picked on my titan, or do I just have to wait until the ability-kill step to see which ability to use?

Luckily for you, any sword kills count towards that step in the quest line. So simply go into the world and into Crucible with any sword currently owned and get the kills.

Following that, it is very easy to determine because of the type of element required to get kills with.

• Dark Drinker (void): void kills paired with relic iron, Mars
• Bolt Caster (arc): arc kills paired with spin metal, Earth
• Raze-Lighter (fire): fire kills paired with helium filaments, Moon

I currently have all 3 of these.