(f) The gradient vector Vf at a point x = (₁, 22, 23, ₁) R¹ is given by af af af af V/=( 1 Or Or₂ Ora Or (g) In general, the value of a line integral along a curve C is independent of the parametrization of C. (h) Let i, j be a system of suitable oriented perpendicular vectors, and (x, y) represents the vector ri + uj. Given a curve C, the value of the line integral F(x, y) - dr is independent of the choice of vectors i, j.
(f) The gradient vector Vf at a point x = (₁, 22, 23, ₁) R¹ is given by af af af af V/=( 1 Or Or₂ Ora Or (g) In general, the value of a line integral along a curve C is independent of the parametrization of C. (h) Let i, j be a system of suitable oriented perpendicular vectors, and (x, y) represents the vector ri + uj. Given a curve C, the value of the line integral F(x, y) - dr is independent of the choice of vectors i, j.
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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