Let V = (-9, ∞o). For u, v € V and a € R define vector addition by uvuv + 9(u + v) + 72 and scalar multiplication by a u:= (u +9)a - 9. It can be shown that (V,B,O) is a vector space over the scalar field R. Find the following: the sum: -6-5 the scalar multiple: 8-6 the additive inverse of -6: B-6 the zero vector: Ov the additive inverse of x: Bx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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8:18
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the sum:
define
Let V = (-9, ∞). For u, v € V and a E
vector addition by uv := uv + 9(u + v) + 72 and
scalar multiplication by a u:= (u +9)a - 9. It can
be shown that (V,B,D) is a vector space over the
scalar field R. Find the following:
-6-5
hartnellcollegemathswebwork5000.net
the scalar multiple:
80 -6
the additive inverse of -6:
B-6
Oy
the zero vector:
8x
the additive inverse of x:
WEBWORK
Transcribed Image Text:8:18 Previous Problem Problem List Next Problem the sum: define Let V = (-9, ∞). For u, v € V and a E vector addition by uv := uv + 9(u + v) + 72 and scalar multiplication by a u:= (u +9)a - 9. It can be shown that (V,B,D) is a vector space over the scalar field R. Find the following: -6-5 hartnellcollegemathswebwork5000.net the scalar multiple: 80 -6 the additive inverse of -6: B-6 Oy the zero vector: 8x the additive inverse of x: WEBWORK
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