2.30 Let r denote a position vector r = x= xê, (r² vector. Use index notation to show that: (a) ² (r") = n(n+1)r”−2¸
2.30 Let r denote a position vector r = x= xê, (r² vector. Use index notation to show that: (a) ² (r") = n(n+1)r”−2¸
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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![2.30 Let r denote a position vector r = x = xiêį (r² = x₂x₁) and A be an arbitrary constant
vector. Use index notation to show that:
(a)
(c)
² (r) = n(n+1) rn-2.
V. (rx A) = 0.
(b)
(d)
V(r. A) = A.
▼x (rx A) = -2A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F780f9839-f737-4aba-91a2-6210989911b1%2F944624d2-e48d-4914-afdd-94b3d40b9cde%2Fyttga1j_processed.png&w=3840&q=75)
Transcribed Image Text:2.30 Let r denote a position vector r = x = xiêį (r² = x₂x₁) and A be an arbitrary constant
vector. Use index notation to show that:
(a)
(c)
² (r) = n(n+1) rn-2.
V. (rx A) = 0.
(b)
(d)
V(r. A) = A.
▼x (rx A) = -2A.
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