A 100-meter dash is run on a track in the direction of [tex]\vec{v} = 2\vec{e_{1}}+6\vec{e_{2}}[/tex]. The wind velocity [tex]\vec{w}[/tex] is 5[tex]\vec{e}_{1}+\vec{e_{2}}[/tex] 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?(adsbygoogle = window.adsbygoogle || []).push({});

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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# Vector problem involving velocity and wind

Can you offer guidance or do you also need help?

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