向く and 向かう: facing a direction and heading to a destination
Compare facing a window with traveling toward a library, separating a destination heading from completed arrival.
The orientation of a body or object
向く, read むく, describes facing a particular way. こちらを向いてください。 asks someone to face this way, rather than walk over here.
椅子は窓のほうを向いています。 says that the chair faces the window. It describes orientation rather than movement.
Heading toward a destination
向かう, read むかう, can describe moving toward a destination or goal. 図書館に向かっています。 says that someone is heading to the library without establishing arrival.
駅に向かって歩きました。 says that someone walked toward the station. The walking is a past action, but arrival is not stated as it would be in 駅に着きました。
Reading a change of facing followed by travel
窓のほうを向いてから、玄関へ向かいました。 says that someone faced the window and then headed toward the entrance. Distinguish the facing direction of the first action from the destination of the second.
向いて is the て-form of 向く, while 向かって is the て-form of 向かう. Read the accompanying reference or destination to distinguish orientation from travel.
Does 駅に向かって歩きました。 establish arrival at the station?
Show the answer and why
No. It describes the past action of walking toward the station but does not state completed arrival.