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Which ONE of the following statements is TRUE? A. The directional derivative as a scalar quantity is always in the direction vector u with |u| = 1. B. Gradient of f(x,y,z) at some point (a,b,c) is given by ai+bj+ck. O c. The directional derivative is a vector valued function in the direction of some point of the gradient of some given function. D. The cross product of the gradient and the uint vector of the directional vector gives us the directional derivative. E. None of the choices in this list.

Which ONE of the following statements is TRUE? A. The directional derivative as a scalar quantity is always in the direction vector u with |u| = 1. B. Gradient of f(x,y,z) at some point (a,b,c) is given by ai+bj+ck. O c. The directional derivative is a vector valued function in the direction of some point of the gradient of some given function. D. The cross product of the gradient and the uint vector of the directional vector gives us the directional derivative. E. None of the choices in this list.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which ONE of the following statements is TRUE? A. The directional derivative as a scalar quantity is always in the direction vector u with |u|=1. B. Gradient of f(x,y,z) at some point (a,b,c) is given by ai+bj+ck. OC. The directional derivative is a vector valued function in the direction of some point of the gradient of some given function. D. The cross product of the gradient and the uint vector of the directional vector gives us the directional derivative. E. None of the choices in this list.
Transcribed Image Text:Which ONE of the following statements is TRUE? A. The directional derivative as a scalar quantity is always in the direction vector u with |u|=1. B. Gradient of f(x,y,z) at some point (a,b,c) is given by ai+bj+ck. OC. The directional derivative is a vector valued function in the direction of some point of the gradient of some given function. D. The cross product of the gradient and the uint vector of the directional vector gives us the directional derivative. E. None of the choices in this list.
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