(au1, 2). respectivel Let V = {(r,y)|r,y E R}, with addition and scalar multiplication defined as u + v = (u+v1, U2 + v2) and au = where u (u1, U2) and v = (v1, v2) and scalars a. Which of the following is true? O A. k(lu) = (kl)u and 1u = u for all u e V %3D O B. (0,0) is the zero of V and (kl)u = k(lu) for all scalars k, l and u e V 13D O C. Addition is associative and k(u + v) = ku + kv for all u, v E V and for all scalars k O D. 3(u + v) = 3u + 3v and the negative of (-2, 3) is (2, -3) %3D O E. k(u + v) = ku+ kv for u, v E V and scalar k, and addition is commutative Reset Selection

Algebra and Trigonometry (6th Edition)
6th Edition
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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Question
(u1 + v1, U2 + v2) and au =
(au1, 2), respectively.
Let V = {(T,y)r, Y ER}, with addition and scalar multiplication defined as u + v =
(u1, U2) and v = (v1, V2) and scalars a. Which of the following is true?
where u =
O A. k(lu) = (kl)u and 1u
= u for all E V
O B. (0,0) is the zero of V and (kl)u = k(lu) for all scalars k, l and u E V
||
O C. Addition is associative and k(u + v)
ku + kv for all u, v E V and for all scalars k
O D. 3(u + v) :
3u + 3v and the negative of (-2, 3) is (2, –3)
O E. k(u + v) = ku + kv for u, v E V and scalar k, and addition is commutative
Reset Selection
Transcribed Image Text:(u1 + v1, U2 + v2) and au = (au1, 2), respectively. Let V = {(T,y)r, Y ER}, with addition and scalar multiplication defined as u + v = (u1, U2) and v = (v1, V2) and scalars a. Which of the following is true? where u = O A. k(lu) = (kl)u and 1u = u for all E V O B. (0,0) is the zero of V and (kl)u = k(lu) for all scalars k, l and u E V || O C. Addition is associative and k(u + v) ku + kv for all u, v E V and for all scalars k O D. 3(u + v) : 3u + 3v and the negative of (-2, 3) is (2, –3) O E. k(u + v) = ku + kv for u, v E V and scalar k, and addition is commutative Reset Selection
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