# Vector problem involving velocity and wind

1. Sep 18, 2007

### braindead101

A 100-meter dash is run on a track in the direction of $$\vec{v} = 2\vec{e_{1}}+6\vec{e_{2}}$$. The wind velocity $$\vec{w}$$ is 5$$\vec{e}_{1}+\vec{e_{2}}$$ km/h. The rules say that a legal wind speed measured in teh direction of the dash must not exceed 5 km/h. Will the race results be disqualified due to an illegal wind?

I am unsure how to start this problem, any help would be great. I think that I must find the speed of the wind in that direction first, so finding that vector and then finding the magnitude of that vector. But I don't know how to find that vector.

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