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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
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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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