Final answer:
The pilot must communicate with ATC for an amended vector if the radar vector heading may cause crossing the final approach course prematurely. A vector equation is used for compensating wind velocity, and graphing vectors helps in evaluating the plane's correct ground velocity and heading.
Step-by-step explanation:
If a pilot is being vectored for an approach but has not yet received clearance and notices that the radar vector heading will cause the aircraft to intersect the final approach course, the pilot must take appropriate action. Firstly, the pilot should communicate with air traffic control (ATC) to make them aware of the situation and request an amended vector.
If the situation is such that the pilot cannot maintain the vector without jeopardizing the safety of the flight, they should inform ATC and request an immediate change in heading.
It's imperative to consider that the vector equation is fundamental in determining the necessary compensation for the wind velocity. A vector equation that includes the velocity of the plane with respect to the ground, the velocity of the plane with respect to the air, and the velocity of the air with respect to the ground must be established.
After determining these vectors, one can solve for the velocity of the plane with respect to the ground.
Using this information, the pilot can create a graph representing these vectors, which will allow the evaluation of the magnitude of the plane's velocity with respect to the ground. It also provides insight into the angle the plane's velocity makes with the direction of north, indicating the heading the plane must maintain to compensate for the wind.