(b) (x1, Yi, Z1) + (X2, Y2 Z2) = (0, 0, 0) c(x, y, z) = (cx, cy, cz) O Thể set is a vector space. O The set is not a vector space because the commutative property of addition is not satisfied. O The set is not a vector-space because the additive identity property is not satisfied. O The set is not a vector space because it is not closed under scalar multiplication. O The set is not a vector space because the multiplicative identity property is not satisfied.

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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Is r3 a vector space? 

(b) (X1, Y1r Z1) + (X2, Y2, Z2)
(0, 0, 0)
c(x, y, z) = (cx, cy, cz)
(сх, су, с2)
%3D
O Thể set is a vector space.
O The set is not a vector space because the commutative property of addition is not satisfied.
O The set is not a vectorspace because the additive identity property is not satisfied.
The set is not a vector space because it is not closed under scalar multiplication.
O The set is not a vector space because the multiplicative identity property is not satisfied.
Transcribed Image Text:(b) (X1, Y1r Z1) + (X2, Y2, Z2) (0, 0, 0) c(x, y, z) = (cx, cy, cz) (сх, су, с2) %3D O Thể set is a vector space. O The set is not a vector space because the commutative property of addition is not satisfied. O The set is not a vectorspace because the additive identity property is not satisfied. The set is not a vector space because it is not closed under scalar multiplication. O The set is not a vector space because the multiplicative identity property is not satisfied.
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