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Math Help - Vector problem

  1. #1
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    Vector problem

    A plane flying due east at 200 km/hour encounters as a 40 km/hour north-easterly wind. The resultant velocity of the plane is the vector sum v = v1 + v2, where v1 is the velocity vector of the plane and v2 is the velocity vector of the wind. The angle between both vectors is pi/4. Determine the resultant speed of the plane (the length of v).

    I don't like vectors. Maybe they don't like me either.

    Dang, this whole chapters on vectors. =(

    I miss integrals.
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  2. #2
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    law of cosines will get it quickly ...

    v = \sqrt{v_1^2 + v_2^2 - 2v_1v_2\cos\left(\frac{\pi}{4}\right)}
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  3. #3
    Newbie cheet0face's Avatar
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    For the first part under the square root, does that mean the exponent of v2 divided by the exponent of v1?
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  4. #4
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    it means v_1 squared + v_2 squared
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