Let V = R. For u, v E V and a E R define vector addition by uvu+v - 2 and scalar multiplication by a Du := au -2a + 2. It can be shown that (V,B, ) is a vect over the scalar field R. Find the following: the sum: 0-6= the scalar multiple: 00 the zero vector: Ov= the additive inverse of a Br=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 12E
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Let V = R. For u, v € Vand a R define vector addition by uvu+v-2 and scalar multiplication by au : au
over the scalar field R. Find the following:
the sum:
0-6=
the scalar multiple:
00=
the zero vector:
Ov
the additive inverse of :
8x =
2a + 2. It can be shown that (V, B, ) is a vector space
Transcribed Image Text:Let V = R. For u, v € Vand a R define vector addition by uvu+v-2 and scalar multiplication by au : au over the scalar field R. Find the following: the sum: 0-6= the scalar multiple: 00= the zero vector: Ov the additive inverse of : 8x = 2a + 2. It can be shown that (V, B, ) is a vector space
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