Here is the full list of all 41 Strike Vector EX achievements.
[Campaign] Finish the Campaign.
[Campaign] Complete Chapter 5.
[Campaign] Win at least a Gold medal in all Stadium Challenges.
Pass through 10 Boost Gates in less than 30 seconds.
[Campaign] Complete Chapter 4.
Destroy an enemy Vector by shooting an explosive environment object.
[Campaign] Complete Chapter 3.
[Campaign] Complete Chapter 2.
First crash.
Destroy an enemy Vector with the Tesla.
[Campaign] Complete Chapter 1.
[Multiplayer] Destroy 50 enemy Vectors with Gatlings.
Unlock all Trophies.
[Campaign] Mission 1 : Finish the Mission in less than 4 minutes.
[Campaign] Mission 3 : Finish the race in less than 47 seconds.
Destroy an enemy Vector with 1 Health Point remaining.
Destroy an enemy Vector with Mines.
Destroy 200 explosive Fuel Tankers or Cargos.
Destroy an enemy Vector with a Stalker.
Dodge 50 Homing Missiles with Strafe Boost/Barrel Roll.
[Multiplayer] Reach Vector Master grade (level 45).
[Multiplayer] Destroy 300 enemy Vectors.
[Multiplayer-CTF] Capture the Enemy Flag and return it to the Base without dying.
[Multiplayer] Destroy at least 1 enemy Vector with each weapon.
[Multiplayer] Win a multiplayer match in any game mode.
Upgrade your Prestige Level for the first time.
[Multiplayer] Destroy 40 enemy Vectors with Carabines.
[Multiplayer] Destroy 50 enemy Vectors with Rockets.
[Multiplayer] Destroy 40 enemy Vectors with Homing Missiles.
[Multiplayer] Destroy 30 enemy Vectors with Plasma Guns.
[Multiplayer] Destroy 50 enemy Vectors with Shotguns.
[Multiplayer] Destroy 40 enemy Vectors with Swarms Missiles.
[Multiplayer-King of the Hill] Capture a Strategic Point with the Ghost Device activated.
[Multiplayer] Destroy 3 enemy Vectors with the same Strike Damage Bonus.
[Multiplayer] Destroy a Bonus Drone.
[Multiplayer] Win 3 High-Five Medals.
[Multiplayer] Destroy an enemy Vector with self-destruction action.
[Multiplayer] First kill.
[Multiplayer] Destroy 3 enemy Vectors without dying.
[Multiplayer] Collect 15 Bonus Crates.
[Multiplayer] Collect a Crate with the Rocket Booster active.