Which type of SID provides vectors to pilots after takeoff?

A Vector SID is designed to provide specific flight path instructions to pilots after takeoff, utilizing predefined routes that are flexible and help manage air traffic safely and efficiently. This type of Standard Instrument Departure allows air traffic control to provide radar vectors to guide aircraft safely through busy airspace or to ensure they are safely separated from other traffic. By giving air traffic control the flexibility to adjust the route as needed, Vector SIDs help optimize the flow of traffic and reduce congestion, which can be particularly beneficial in busy terminal areas.

In contrast, a Pilot Navigation SID requires pilots to navigate using their aircraft's onboard navigation systems without specific vectors from air traffic control, which can lead to less efficient routing in crowded airspace. A Standard Instrument Arrival refers specifically to the designated path for aircraft approaching an airport, not departing from it. Controlled Departure is a broad term that could encompass various departure methods but does not specifically indicate the provision of vectors after takeoff. Therefore, the choice of Vector SID is the most accurate in the context of this question.