If A = x 2 z i + yz 3 j - 3xy k , B '= y 2 i - yz j + 2x k and ∅= 2x 2 + yz , find (a) A.(∇∅), (b) (A. ∇)∅, (c) (A.∇)B, (d)B(A. ∇) (e) (. ∇. A)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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If A = x 2 z i + yz 3 j - 3xy k , B '= y 2 i - yz j + 2x k and ∅= 2x 2 + yz , find (a)
A.(∇∅), (b) (A. ∇)∅, (c) (A.∇)B, (d)B(A. ∇) (e) (. ∇. A)B.

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