Math extra credit vectors

Math extra credit vectors
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  • Hello, I am Mrs. Direction and I need to figure out where I am going using vectors! 
  • If I am on an airplane traveling 327 mph at 25 degrees North of West, and there is some wind traveling 30 mph at 60 degrees South of West, what is the magnitude and direction that the plane is actually traveling?
  • To figure this out, you must first draw your diagram
  • Make a parallelogram with the vectors by positioning them tip to tail with a resultant vector in the middle. 
  • R
  • 1) diagram 2) parallelogram 3) law of cosines
  • Then you must use the law of cosines to figure out what R equals and use it again to find the angle R is positioned at relative to North, South, East, or West.
  • Using that method, we can determine that the plane is actually travelling 331 mph at 20 degrees North of West.
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