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Math Help - Find Unit Vector and Angel

  1. #1
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    Question Find Unit Vector and Angel

    Suppose that you are climbing a hill whose shape is given by , and that you are at the point (90, 50, 300).

    In which direction (unit vector) should you proceed initially in order to reach the top of the hill fastest?
    ,
    If you climb in that direction, at what angle above the horizontal will you be climbing initially (radian measure)?
    __________.

    help me understand and solve this one.
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by DMDil View Post
    Suppose that you are climbing a hill whose shape is given by , and that you are at the point (90, 50, 300).

    In which direction (unit vector) should you proceed initially in order to reach the top of the hill fastest?
    ,
    If you climb in that direction, at what angle above the horizontal will you be climbing initially (radian measure)?
    __________.

    help me understand and solve this one.
    The surface can be though of F(x,y,z)=0.04x^2+0.02y^2+z-674

    The gradient will give the the direction of fastest increase

    \frac{\nabla F(90,50,300)}{|\nabla F(90,50,300)|}
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