A 100-meter dash is run on a track in the drection of the vector v = 2i + 6j. The wind velocity w is a vector w = 5i + j km/hr. The rules say that a legal wind speed measured in the direction of ther dash must not exceed 5km/hr. Will the race results be disqualified due to an illegal wind speed?
I know how to approach this problem I need to find the magintude of the vector component of the wind that is perpendicular to the race track.
I'm a little confused about the application of the formula, can I do v * (w/||w||), and if so, can you please explain this.