Make a Move Vector rotate around axis to run animation.

My character can move Vertically and sideways. And it also can rotate around its axis. But when it rotates around its axis I want the ANIMATION class, to recognize the rotation to play the animations: TurningRight and TurningLeft.

Here is the script:

  public void DetermineCurrentMoveDirection()
  {

     var turningright = false;
     var turningleft = false;

     if (TP_Motor.Instance.MoveVector.y > 0) // This is the important part that should be changed
         turningright = true;
     if (TP_Motor.Instance.MoveVector.y < 0) // This is the important part 2
         turningleft = true;

BUT HOW CAN I CONVERT THE = MoveVector.y, to a rotation???

// Turning

     if (turningright)
     {
         if (turningright)
             MoveDirection = Direction.TurningRight;
     }

     if (turningleft)
     {
         if (turningleft)
             MoveDirection = Direction.TurningLeft;
     }

     #region Character State Methods

     void TurningLeft()
     {
     animation.CrossFade("TurningLeft");
     }
     void TurningRight()
     {
     animation.CrossFade("TurningRight");
     }
     #endregion
     }

In other words, how can I convert a vector to rotate around its axis, and how to make the script recognize that movement to play an animation.

What I did is to recognize the imput keys, but i dont recommend it. Here is the second code:

         if (!Input.GetKey(KeyCode.LeftShift) && Input.GetKey("d") && !Input.GetKey(KeyCode.CapsLock)
         && !Input.GetKey("w") && !Input.GetKey("up") && !Input.GetKey("down") ||
         !Input.GetKey(KeyCode.LeftShift) && Input.GetKey("right") && !Input.GetKey(KeyCode.CapsLock)
         && !Input.GetKey("w") && !Input.GetKey("up") && !Input.GetKey("down"))
         turningright = true;