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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