Final answer:
The resultant velocity of the plane flying south at 400 km/min with a headwind blowing north at 12 km/min is 388 km/min south.
Step-by-step explanation:
If a plane is flying south at 400 km/min and encounters a wind blowing north at 12 km/min, the resulting velocity of the plane can be found by subtracting the wind's velocity from the plane's velocity because they are in opposite directions. Therefore, the resultant velocity of the plane = (plane's velocity south) - (wind's velocity north) = 400 km/min - 12 km/min = 388 km/min south. The correct answer is B) 388 km/min south.