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Homework Help: Gradient Of A Scalar

  1. Jan 30, 2009 #1
    The temperature in an auditorium is given by T = x2 + y2 - z. A mosquito located at (1,1,2) in the auditorium desires to fly in such a direction that it will get warm as soon as possible. In what direction must it fly?

    I know that the gradient of T will point to the direction where the temperature rises the fastest, but I'm not quite sure what to do with the point they give me (1,1,2).
  2. jcsd
  3. Jan 30, 2009 #2


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    I believe the direction they are asking for is the initial direction from its starting location of (1,1,2). The gradient of the temperature function isn't a constant, so the direction at any one point in the auditorium may vary so giving you that initial position is a way of saying "Give me definite direction to fly towards."
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