When turning right at an intersection, you must give way to all vehicles coming towards you, including those going straight ahead or turning left. This includes vehicles coming from the opposite direction that may be turning left across your path. Additionally, you must give way to any pedestrians crossing the road you are turning into. If both you and an oncoming vehicle are turning right and your paths do not cross, you can both proceed simultaneously, but always be cautious of large vehicles needing extra room. In summary, the right-of-way rule for turning right means giving way to oncoming traffic going straight or turning left and to pedestrians crossing the road into which you are turning.