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2. Prove div(curl(F) = 0, if F = Pi + Qj+ Rk is a vector field on R³ and P, Q and R have continuous second-order partial derivatives.

2. Prove div(curl(F) = 0, if F = Pi + Qj+ Rk is a vector field on R³ and P, Q and R have continuous second-order partial derivatives.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 70EQ
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2. Prove div(curl(F) = 0, if F = Pi + Qj + Rk i derivatives. is a vector field on R³ and P, Q and R have continuous second-order partial
Transcribed Image Text:2. Prove div(curl(F) = 0, if F = Pi + Qj + Rk i derivatives. is a vector field on R³ and P, Q and R have continuous second-order partial
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