Answer
Yes, air velocity is a vector field.
No, air temperature is a scalar field, not a vector field.
Work Step by Step
Velocity is a vector, with a magnitude and direction. Air velocity, which assigns a velocity to each point in the Earth’s atmosphere, is a vector field.
Temperature is a scalar (despite the fact that it can take on both positive and negative values when using the Celsius or Fahrenheit scale, it does not have a direction). Air temperature, which assigns a temperature to each point in the Earth’s atmosphere, is a scalar field, not a vector field.