[2D] Angle to Vector conversion

Greetings dear fellows, I've spent 2 hours researching the Internet for the solution. Finally I decided to ask for help here.

My case: in a 2D game and I would like to spawn a projectile inside a player, which will be fired at the direction depending on the way the player is facing.

My assumptions: Because it is a 2D game, with a view from the top of the screen (not sidescroller), the player has 360 degrees to face. I assume it should be done the following way (perhaps, I am wrong): 1) create 0,0,0 vector where 0,0,0 is the middle of the map. 2) calculate the angle a player has while moving 3) create a vector out of this angle 4) normalize this vector (as I understand Normalization helps to clean the vector from unneccessary magnitude information, leaving only direction it is pointing to, like instead of a 0,10 vector we get 0,1 normalized vector. Which is the same direction, but is free of magnitude, am I right?) 5)substract normalized vector from initial 0,0,0 one to get the direction from the object to the middle of the map.

My script so far:

    public var rocket : Rigidbody2D;
    public  var vectorOne : Vector3 = Vector3(0,0,0);
 
 
 function Update() {
 
 var coordinates = GameObject.Find("professor").transform.position;
 
 var angle2 = Mathf.Atan2(GameObject.Find("professor").transform.position.x, GameObject.Find("professor").transform.position.y) * Mathf.Rad2Deg;
 
 //Debug.Log(angle2);
 //Debug.Log(vectorOne);
 
 //Angle - Vector 0.0 = vector distance
 //normalize to only get the direction
 
 /* doesn't work
 var f = angle2.Vector2.Normalize();
 var theNeededVector = f - vectorOne;
 Debug.Log(e);
 */
 
         if (Input.GetMouseButtonDown(0))
         {
              var b: Rigidbody2D = Instantiate (rocket, coordinates, Quaternion.identity); 
         //      var force =10;
         //      b.rigidbody2D.AddForce(theNeededVector * force);
 
         }
    }