Airplane Velocity and Wind Effect

Explanation

Physics: The subject of the question is Physics, specifically focusing on velocity and how wind affects an airplane's path.

When a plane flies north at a velocity of 200 m/s against a headwind blowing from the north at 70 m/s, the resultant velocity is calculated by subtracting the wind velocity from the plane's velocity. Therefore, 200 m/s - 70 m/s equals 130 m/s due north.

The resultant velocity of the plane is found by adding the airplane's velocity to the wind velocity. The given plane's velocity is v=⟨220,−90,10⟩ km/h. To determine the total velocity, we must consider the impact of the wind on the plane's movement.

Since the direction and speed of the wind are not provided in the question, a precise calculation of the resultant velocity of the airplane cannot be determined.