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10. Let a = (a₁, a2, a3), b = (b₁,b2, b3), and = (C₁, C2, C3) and y be a scalar. Prove the following properties for vectors. (a) The associative property: y(a b) = (ya) b =ä. (yb) (b) The distributive property: a (b + c) = å· b + a. ¿

10. Let a = (a₁, a2, a3), b = (b₁,b2, b3), and = (C₁, C2, C3) and y be a scalar. Prove the following properties for vectors. (a) The associative property: y(a b) = (ya) b =ä. (yb) (b) The distributive property: a (b + c) = å· b + a. ¿

Calculus: Early Transcendentals
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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10. Let a = (a₁, A2, a3), b = (b₁,b2, b3), and c = (C₁, C₂, C3) and y be a scalar. Prove the following properties for vectors. (a) The associative property: y(a - b) = (ya) b =å. (yb) (b) The distributive property: ä. (b + c) = a · b + ā · c
Transcribed Image Text:10. Let a = (a₁, A2, a3), b = (b₁,b2, b3), and c = (C₁, C₂, C3) and y be a scalar. Prove the following properties for vectors. (a) The associative property: y(a - b) = (ya) b =å. (yb) (b) The distributive property: ä. (b + c) = a · b + ā · c
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