Mathematics: The temperature at the point (x, y, z) in space is given by T ( x, y, z) = x + yz. A fly is at the point (1, 2, 1). In what direction should he begin to fly to cool off as quickly as possible. Your answer should be a unit vector in the requested direction.

The expression that she can use is 1/6 x 1/5I hope this can help :)...

The temperature at the point (x, y, z) in space

missheather0309

16.03.2022

$u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}$

Step-by-step explanation:

From the question we are told that

Temperature is given T ( x, y, z) = x + yz. \

A fly is at (1,2,1)

Generally the direction of fly is given by

$\triangleT(x,y,z) =(1,z,y)\\$

$v= \triangleT(1,2,1)\\v=(1,1,2)$

Mathematically solving for the vector direction

$|v|=\sqrt{1^2+1^2+2^2}$

$|v|=\sqrt{6}$

$u=- \frac{v}{|v|}$

$u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}$

Therefore this the direction which should be taken to cool down soonest

0,0(0 оценок)