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Math Help - vector calc questions

  1. #1
    Member
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    vector calc questions

    I am studying for an exam and I am hoping that someone can clarify a couple of things:

    If I have a airplane with vector of 304 i and negative 35 j (since it is traveling east and slightly south) when I compute the ground speed do I use

    square root of 304^2 + 35^2 or would I use square root of 304^2 minus 35^2 since the airplane's direction is south not north. I am thinking that the ground does not care if we are going north or south but I am confused!!!!!!


    I am given three points (0,0,0), (1,1,2) and (2,3,-1) and asked to find the area of the triangle with these vertices.

    After a little thought, I chose to get two displacement vectors and then figured out their cross product. Since this would be the area of a parallogram I divided it by two to get the area of what I hope is the triangle. Did I think long enough on this or am I way off???

    Thanks to all you folks out there who help others!!!!!
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  2. #2
    MHF Contributor
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    Hi

    The coordinates of the vector are (304,-35)
    The modulus is \sqrt{304^2+(-35)^2}=\sqrt{304^2+35^2}

    For the area of the triangle you are right (divide by 2)
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