S. 1.110. Determine whether A dr is independent of the path C joining any two points if (a) A = 2zyzi + 2zj + z?yk, (b) 2zzi + (x2 – y)j + (2z – x²)k. In the case where it is independent of the path, determine $ such that A = V¢. Ans. (a) Independent of path, = x?yz + c; (b) dependent on path
S. 1.110. Determine whether A dr is independent of the path C joining any two points if (a) A = 2zyzi + 2zj + z?yk, (b) 2zzi + (x2 – y)j + (2z – x²)k. In the case where it is independent of the path, determine $ such that A = V¢. Ans. (a) Independent of path, = x?yz + c; (b) dependent on path
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 41EQ
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Line Integral And Independence Of The Path
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