Let f(x,y,z)=xyz. What is the directional derivative of f in the direction of the unit vector u=⟨a,b,c⟩? O A. xyz(a +6+ c)B. ax + by + czOC. (ry + yz + zz)(a + b+ c)D. ayz + baz+ cxyE. None of the others. /Geen van die ander nie.

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Answered: Let f(x,y,z)=xyz. What is the…

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Let f(x,y,z)=xyz. What is the directional derivative of f in the direction of the unit vector u=⟨a,b,c⟩?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 22RE

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Question

Let f(x,y,z)=xyz. What is the directional derivative of f in the direction of the unit vector u=⟨a,b,c⟩?

O A. xyz(a +6+ c)
B. ax + by + cz
OC. (ry + yz + zz)(a + b+ c)
D. ayz + baz+ cxy
E. None of the others. /Geen van die ander nie.

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.

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