a. u + v=v+u b. (u + v) + w = u + (v + w) C. U+0=u d. u + (-u) = 0 e. c(u + v) = cu + cv f. (c + d)ucu + du g. c(du) = (cd)u h. 1u - u Commutativity Associativity Distributivity Distributivity nplify the given vector expression. Indicate which properties in the theorem 3(a - 5b) + 5(3b + a) a − 5b) + 5(3b + a) = (3a − 15b) + (15b + 5a) - (3a + 5a) + (15b − 15b) = 8a properties a. and c. ✔ properties a. and f.
a. u + v=v+u b. (u + v) + w = u + (v + w) C. U+0=u d. u + (-u) = 0 e. c(u + v) = cu + cv f. (c + d)ucu + du g. c(du) = (cd)u h. 1u - u Commutativity Associativity Distributivity Distributivity nplify the given vector expression. Indicate which properties in the theorem 3(a - 5b) + 5(3b + a) a − 5b) + 5(3b + a) = (3a − 15b) + (15b + 5a) - (3a + 5a) + (15b − 15b) = 8a properties a. and c. ✔ properties a. and f.
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,...
Related questions
Question
![Let u, v, and w be vectors in R and let c and d be scalars. Then
Commutativity
Associativity
a. u + v = v +u
b. (u + v) + w = u + (v + w)
C. U + 0 = u
d. u + (-u) = 0
e. c(u + v) = cu + cv
f. (c + d)u = cu + du
(cd)u
g. c(du)
h. 1u - u
Simplify the given vector expression. Indicate which properties in the theorem above you use.
3(a - 5b) + 5(3b + a)
3(a - 5b) + 5(3b + a) = (3a - 15b) + (15b + 5a)
=
Distributivity
Distributivity
(3a + 5a) + (15b - 15b)
= 8a
properties a. and c. ✔
properties a. and f. ✔](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8fa7aa4-dafc-4c07-b274-462aa6ff800c%2Faa7bd7d0-33d6-44ba-9bb4-0ee66715a866%2Fkdrjn2j_processed.png&w=3840&q=75)
Transcribed Image Text:Let u, v, and w be vectors in R and let c and d be scalars. Then
Commutativity
Associativity
a. u + v = v +u
b. (u + v) + w = u + (v + w)
C. U + 0 = u
d. u + (-u) = 0
e. c(u + v) = cu + cv
f. (c + d)u = cu + du
(cd)u
g. c(du)
h. 1u - u
Simplify the given vector expression. Indicate which properties in the theorem above you use.
3(a - 5b) + 5(3b + a)
3(a - 5b) + 5(3b + a) = (3a - 15b) + (15b + 5a)
=
Distributivity
Distributivity
(3a + 5a) + (15b - 15b)
= 8a
properties a. and c. ✔
properties a. and f. ✔
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra And Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780135163078/9780135163078_smallCoverImage.gif)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
![Introduction to Linear Algebra, Fifth Edition](https://www.bartleby.com/isbn_cover_images/9780980232776/9780980232776_smallCoverImage.gif)
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
![College Algebra (Collegiate Math)](https://www.bartleby.com/isbn_cover_images/9780077836344/9780077836344_smallCoverImage.gif)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education