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Using the indicial notation, show that: a. (āx b) a = 0 b. c. div(curl v) = 0 curl Vu = 0 for any continuously differentiable u.

Using the indicial notation, show that: a. (āx b) a = 0 b. c. div(curl v) = 0 curl Vu = 0 for any continuously differentiable u.

Advanced Engineering Mathematics
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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Using the indicial notation, show that: a. (āx b) ā= 0 b. div(curl v) = 0 c. curl Vũ = 0 for any continuously differentiable u. d. curl w = 2ē given that w = cx e. (A·ā). (Bb)=ā. (AT B). b F f. a Abb. A a . In the above, a, b, u, w, and are vectors. A and B are arbitrary tensors and e does not depend upon the coordinates.
Transcribed Image Text:Using the indicial notation, show that: a. (āx b) ā= 0 b. div(curl v) = 0 c. curl Vũ = 0 for any continuously differentiable u. d. curl w = 2ē given that w = cx e. (A·ā). (Bb)=ā. (AT B). b F f. a Abb. A a . In the above, a, b, u, w, and are vectors. A and B are arbitrary tensors and e does not depend upon the coordinates.
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