Let V₂ = {(a, b)|a, b = R} with the following operations: (a₁, α₂) + (b₁,b₂) = (a₁ + b₁ − 1, a₂ + b₂ + 2) k(a, b) = (ka, kb). Which of the following is the zero vector in V₂? O (0,0) O (1,-2) O (-1,2) O (1, 1)

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let V₂ = {(a, b)|a, b = R} with the following
operations:
-
(α₁, α₂) + (b₁,b₂) = (a₁ + b₁ − 1, a₂ + b₂ + 2)
k(a, b) = (ka, kb).
Which of the following is the zero vector in V₂?
O (0,0)
O (1,-2)
O (-1,2)
O (1, 1)
Transcribed Image Text:Let V₂ = {(a, b)|a, b = R} with the following operations: - (α₁, α₂) + (b₁,b₂) = (a₁ + b₁ − 1, a₂ + b₂ + 2) k(a, b) = (ka, kb). Which of the following is the zero vector in V₂? O (0,0) O (1,-2) O (-1,2) O (1, 1)
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