Answered: The temperature at point (x,y,z) in…

The temperature at 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 begin to fly to cool off as quickly as possible?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 1CM

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Question

Please help to solve this in detail. Thank you.

The temperature at 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 begin to fly to cool off as quickly as possible?
Write the unit vector for the requested direction.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

Expert Solution