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2. Letr =√x² + y² + z². (a) For n ≥ 1 and r> 0, express V(r-n) in terms of r and the radial vector field er. (b) For r> 0, express V.lnr in terms of r and the radial vector field er. (c) Taking A as in question 1, show that for r> 0 we have A(-¹) = 0.

2. Letr =√x² + y² + z². (a) For n ≥ 1 and r> 0, express V(r-n) in terms of r and the radial vector field er. (b) For r> 0, express V.lnr in terms of r and the radial vector field er. (c) Taking A as in question 1, show that for r> 0 we have A(-¹) = 0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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2. Let r = √x² + y² + z². (a) For n ≥ 1 and r > 0, express V(r-n) in terms of r and the radial vector field er. (b) For r> 0, express Vlnr in terms of r and the radial vector field er. (c) Taking A as in question 1, show that for r> 0 we have A(-¹) = 0.
Transcribed Image Text:2. Let r = √x² + y² + z². (a) For n ≥ 1 and r > 0, express V(r-n) in terms of r and the radial vector field er. (b) For r> 0, express Vlnr in terms of r and the radial vector field er. (c) Taking A as in question 1, show that for r> 0 we have A(-¹) = 0.
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