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2(a 4b) + 4(2b + a) 2(a 4b) + 4(2b + a) = (2a - 8b) + (8b + 4a) = (2a + 4a) + (8b - 8b) = 6a properties properties ? ?

2(a 4b) + 4(2b + a) 2(a 4b) + 4(2b + a) = (2a - 8b) + (8b + 4a) = (2a + 4a) + (8b - 8b) = 6a properties properties ? ?

Advanced Engineering Mathematics
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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Let u, v, and w be vectors in R and let c and d be scalars. Then Commutativity Associativity a. u + v = v +u b. (u + v) + w = u + (v + w) C. u + 0 = U d. u + (-u) = 0 e. c(u + v) = cu + cv f. (c + d)u = cu + du g. c(du) = (cd) u h. 1u = u Distributivity Distributivity Simplify the given vector expression. Indicate which properties in the theorem above you use. 2(a - 4b) + 4(2b + a) 2(a 4b) + 4(2b + a) = (2a - 8b) + (8b + 4a) = (2a + 4a) + (8b - 8b) = 6a properties ? properties ?
Transcribed Image Text:Let u, v, and w be vectors in R and let c and d be scalars. Then Commutativity Associativity a. u + v = v +u b. (u + v) + w = u + (v + w) C. u + 0 = U d. u + (-u) = 0 e. c(u + v) = cu + cv f. (c + d)u = cu + du g. c(du) = (cd) u h. 1u = u Distributivity Distributivity Simplify the given vector expression. Indicate which properties in the theorem above you use. 2(a - 4b) + 4(2b + a) 2(a 4b) + 4(2b + a) = (2a - 8b) + (8b + 4a) = (2a + 4a) + (8b - 8b) = 6a properties ? properties ?
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