Gandalf the Grey started in the Forest of Mirkwood at a point with coordinates (

Gandalf the Grey started in the Forest of Mirkwood at a point with coordinates (2, -1) and arrived in the Iron Hills at the point with coordinates (3, 3). If he began walking in the direction of the vector 3i+2j and changes direction only once, when he turns at a right angle, what are the coordinates of the point where he makes the turn.