Show the following identities: (a) ỹ (;) = (97s – fv9). (b) V·(4) = # [9(V · Ä) – Ã · (§9)] (c) ỹ × (4) = ± [9(& × Ã) + Ã × (ỹ9)] %3D %3D

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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Show the following identities:
(a) v (;) = # (975 – fvg).
(b) ▼. (송) = [o(+.A)-A.(G9)]
(c) V × (4) = [9(V × Ã) + Ã × (ỹg)]
(d) V× (V × Ã) = 7(Ÿ·Ã) – V²Ã, with V² = ỹ · ỹ.
(e) [Č · (B · ỹ) – B · (Č - 7)]Ã = (ỹ × Ã) · (B × Č).
(f) Simplify ỹ × Ã(V · Ã) + Ã × [ỹ × (V × Ã)] + Ã × V²Ã.
%3D
%3!
Transcribed Image Text:Show the following identities: (a) v (;) = # (975 – fvg). (b) ▼. (송) = [o(+.A)-A.(G9)] (c) V × (4) = [9(V × Ã) + Ã × (ỹg)] (d) V× (V × Ã) = 7(Ÿ·Ã) – V²Ã, with V² = ỹ · ỹ. (e) [Č · (B · ỹ) – B · (Č - 7)]à = (ỹ × Ã) · (B × Č). (f) Simplify ỹ × Ã(V · Ã) + Ã × [ỹ × (V × Ã)] + Ã × V²Ã. %3D %3!
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