13. For the vector fields: A = x + 2y ŷ + 3z 2; B = 3y - 2x ŷ. Check both product rule given in below: V(A.B) = A x (V x B) + Bx (V x A) +(A. V)B+ (BV)A V. (A x B) = B. (V x A) - A . (V x B)
13. For the vector fields: A = x + 2y ŷ + 3z 2; B = 3y - 2x ŷ. Check both product rule given in below: V(A.B) = A x (V x B) + Bx (V x A) +(A. V)B+ (BV)A V. (A x B) = B. (V x A) - A . (V x B)
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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Transcribed Image Text:13. For the vector fields: A = x + 2y + 3z2;
ŷ
Check both product rule given in below:
B = 3y - 2x ŷ.
V(A.B) = A x (V x B) + B × (V x A) + (A · V)B + (B · V)A
V. (A x B) = B. (V x A) - A. (V x B)
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