Let V = R. For u, v EV and a ER define vector addition by uv := u + v - 3 and scalar multiplication by a □ u := au − 3a + 3. It can be shown that (V, B, □) is a vector space over the scalar field R. Find the following: the sum: -9 B 9 = the scalar multiple: -1 0-9 = the zero vector: 0₁ = the additive inverse of X: 8x =
Let V = R. For u, v EV and a ER define vector addition by uv := u + v - 3 and scalar multiplication by a □ u := au − 3a + 3. It can be shown that (V, B, □) is a vector space over the scalar field R. Find the following: the sum: -9 B 9 = the scalar multiple: -1 0-9 = the zero vector: 0₁ = the additive inverse of X: 8x =
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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