Let V-R For 1,9 € V and a ER define vector addition by u Ev := 2 + 2 | 1 and sealar multiplication by a Du := au + a space over the scalar field R. Find the following: the sum 58-8- the scalar multiple: 60-5- the zero vector: Oy 1. It can be shown that (VB) is a vector

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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Let V = R. For u, € V and a E R define vector addition by u@v:=u+u+1 and scalar multiplication by a Du := au+a 1. It can be shown that (V,B, C) is a vector
space over the scalar field R. Find the following:
the sum:
-58-8-
the scalar multiple:
60-5-1
the zero vector:
0=
the additive inverse of z
8₂ -
Transcribed Image Text:Let V = R. For u, € V and a E R define vector addition by u@v:=u+u+1 and scalar multiplication by a Du := au+a 1. It can be shown that (V,B, C) is a vector space over the scalar field R. Find the following: the sum: -58-8- the scalar multiple: 60-5-1 the zero vector: 0= the additive inverse of z 8₂ -
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