Air traffic controllers give instructions to airline pilots telling

them in which direction they are to fly. These instructions are
called “vectors.” If these are the only instructions given, is the name
“vector” used correctly? Why or why not?

Yes, the name "vector" is used correctly in this context. A vector is a mathematical term that represents both magnitude and direction. In the case of air traffic control, the instructions given to pilots indicate the specific direction they should fly, which aligns with the concept of a vector. Therefore, the name "vector" accurately describes the instructions given by air traffic controllers.