For the formula Dûƒ(P) = Vƒ(P) · û to hold, what must be true of û?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For the formula
Dâƒ(P) = ▼ƒ(P) · û
to hold, what must be true of û?
Its entries must all be nonzero
It must point towards the origin
It must be a unit vector
Its length must be greater than 1
Its components must be unequal
It must be perpendicular to the gradient at P.
Transcribed Image Text:For the formula Dâƒ(P) = ▼ƒ(P) · û to hold, what must be true of û? Its entries must all be nonzero It must point towards the origin It must be a unit vector Its length must be greater than 1 Its components must be unequal It must be perpendicular to the gradient at P.
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