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. ¿

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Chapter1: Functions And Models
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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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