u = proj,u + projivu 5. Let u = = (3, 1). (a) Let v = (8,-4). Find proj,u and projivu, and draw a picture to illustrate. (b) Now let v = =(-4,2). Without doing any calculations, find proj,u. Explain your reasoning. (Hint: refer to the picture you drew in part (a).)

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,...
icon
Related questions
Question

Asking for help with a and b please

A
proj,u
projvu
projivu
proj,u
Let u and v be vectors in Rn. The projection of u onto v is the vector
u v
-V
|v|²
We can write u as a sum of two vectors, one of which is the projection parallel to v and one of which is
orthogonal (perpendicular) to v:
u = proj, u + projivu
proj,u =
5. Let u (3, 1).
=
(a) Let v = (8,-4). Find proj, u and proju, and draw a picture to illustrate.
6-4)
(b) Now let v = (-4, 2). Without doing any calculations, find proj,u. Explain your reasoning.
(Hint: refer to the picture you drew in part (a).)
Transcribed Image Text:A proj,u projvu projivu proj,u Let u and v be vectors in Rn. The projection of u onto v is the vector u v -V |v|² We can write u as a sum of two vectors, one of which is the projection parallel to v and one of which is orthogonal (perpendicular) to v: u = proj, u + projivu proj,u = 5. Let u (3, 1). = (a) Let v = (8,-4). Find proj, u and proju, and draw a picture to illustrate. 6-4) (b) Now let v = (-4, 2). Without doing any calculations, find proj,u. Explain your reasoning. (Hint: refer to the picture you drew in part (a).)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education