Gandalf the Grey started in the Forest of Mirkwood at a point P with coordinates (3, 1) and arrived in the Iron Hills at the point Q with coordinates (5, 6). If he began walking in the direction of the vector v = 4i + 1j and changes direction only once, when he turns at a right angle, what are the coordinates of the point where he makes the turn? Note: You can earn partial credit on this