Problem 2.9. Use identity (2.1.17) to prove the identities аx (bxc) — (а-с)b — (а-b)с b) V²a = V(V·a) – V × (V × a (а V)а — (V xа) ха+V(а-а/2) а) а) - c) a =
Problem 2.9. Use identity (2.1.17) to prove the identities аx (bxc) — (а-с)b — (а-b)с b) V²a = V(V·a) – V × (V × a (а V)а — (V xа) ха+V(а-а/2) а) а) - c) a =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Problem 2.9. Use identity (2.1.17) to prove the identities
а)
аx (bxc) — (а-с)Ь — (а:bjс
|
b) V-а — V(V -a) — Vx (Vха)
c)
(а- V)а — (V ха)ха+V(а-а/2)
a· V)a =
d) Vxоа
V x a :
(να) x a + α(Vx a)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbebf9e48-2487-4953-a9da-b9140fc99eff%2Fbee92624-21e0-4a3a-840c-ffc296c32956%2Fldjjw6_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 2.9. Use identity (2.1.17) to prove the identities
а)
аx (bxc) — (а-с)Ь — (а:bjс
|
b) V-а — V(V -a) — Vx (Vха)
c)
(а- V)а — (V ха)ха+V(а-а/2)
a· V)a =
d) Vxоа
V x a :
(να) x a + α(Vx a)
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