An airplane is heading due south at a speed of 600 km h. if a wind begins blowing from the
southwest at a speed of 100 km h (average), calculate: (a) the velocity (magnitude and direction) of the
plane relative to the groun

So the question ask to compute the velocity of the plane plane relative to the ground and base on my calculation and further computation about the said problem, the answer would be that the magnitude of the plane is 533.99 km/hr and 262.39. I hope you are satisfied with my answer and feel free to ask for more 

Geometric pattern of 2 i’m guessing. not really sure about what you’re asking but i hope this !