r the thrust of aiplane's engine produces a speed of 350 mph in still air . the plane is aimed in the direction of <6,-3,2> but its velocity with respect to the ground is <320,-140,125> mph .find the wind velocity .explain whether this is a tail wind or head wind .

Answer 1

since the plane is aimed basically SW, but its velocity is basically SE, I'd call it a tail wind, since its southward direction is increased. That's quite a side wind, though, as well.

Does the vertical speed matter when considering this?