A 100-meter dash is run on a track in the direction of the vector i = 4i + 3j. The wind velocity w is 6i + 45 km/hr. The rules say that a legal wind speed measured in the direction of the dash must not exceed 5 km/hr. Will the race results be disqualified due to an illegal wind? [Hint: think projections...]

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A: The direction of a vector is given by the formula

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A: please see the next step for solution

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A: