(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The temperature at a point (x,y,z) in space is given by

T(x,y,z) = x^2+y^2-z. a mosquito located at (1,1,2) desires to fly in such a direction that it will get warm as soon as possible. in what direction should it fly?

2. Relevant equations

Grad T = Txi+Tyj+Tkz

3. The attempt at a solution

i first take its grad T = 2xi+2yj-k

then for direction i just get its unit vector.... that is 1/3(2xi+2yj-k) ..

am i right or wrong

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# Homework Help: Vector analysis problem

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