Homework 10 1. Show that the vectors and are orthogonal (perpendicular). Two vectors & and y are perpendicular if i ý - 0. What are their actual lengths?

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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Wed Sep 15 7:13 PM
FSC MYFSC
Bb LEARNING
Bb Math 245
Bb Math 245
Bb Math 245
Bb Module 3: V ×
Bb Online Tuto X
Bb Name of pre x Bb Name of pre X
Bb Annotated E X
Gaussian El X
My Questio X
farmingdale.open.suny.edu/bbcswebdav/pid-2206669-dt-content-rid-22980668_1/courses/202109-MTH245-001-90761/MTH%20245%20Vector%20%26%20Matrix%200perations.pdf
27 * =J
Apps
Reading List
Tp 27
16
Math 245
6 / 9
97%
+ | 0 O
Reading List
Examples
5
3
and y =
Solve for y
Let x =
-15
Det Predtf Vetu
|| *||, = |3|+ |4|=7, |ä|, = /3? + 4? =
25 = 5 , i = max
{|3|,|4|} = 4
1기, =15|+|10| + |-15|= 30, I키. =max {|s|, |10|, | -15 |} = 15
4
a+를(3) - 글(-1) = 4
|| i, = /5?+ 10² + (-15)²
350 = 18.7
25+100+225
Solve for x
Homework
10
-6
1. Show that the vectors
are orthogonal (perpendicular). Two vectors i
-2
and
2
and y are perpendicular if iy = 0. What are their actual lengths?
-H- -IH-
2. Is the 1-norm of a vector always greater than its 2-norm? Justify your answer.
r hee lt
flæ)
e
3. Under what condition does a linear combination of two vectors in R? can take you
anywhere in 2 dimensions?
i
*10
log,
T
>
7
Geometry of a Dot Product
國T。
SEP
PAGES
15
a 101
8 1
•..
10
0000
II
Transcribed Image Text:Chrome File Edit View History Bookmarks Profiles Tab Window Help Wed Sep 15 7:13 PM FSC MYFSC Bb LEARNING Bb Math 245 Bb Math 245 Bb Math 245 Bb Module 3: V × Bb Online Tuto X Bb Name of pre x Bb Name of pre X Bb Annotated E X Gaussian El X My Questio X farmingdale.open.suny.edu/bbcswebdav/pid-2206669-dt-content-rid-22980668_1/courses/202109-MTH245-001-90761/MTH%20245%20Vector%20%26%20Matrix%200perations.pdf 27 * =J Apps Reading List Tp 27 16 Math 245 6 / 9 97% + | 0 O Reading List Examples 5 3 and y = Solve for y Let x = -15 Det Predtf Vetu || *||, = |3|+ |4|=7, |ä|, = /3? + 4? = 25 = 5 , i = max {|3|,|4|} = 4 1기, =15|+|10| + |-15|= 30, I키. =max {|s|, |10|, | -15 |} = 15 4 a+를(3) - 글(-1) = 4 || i, = /5?+ 10² + (-15)² 350 = 18.7 25+100+225 Solve for x Homework 10 -6 1. Show that the vectors are orthogonal (perpendicular). Two vectors i -2 and 2 and y are perpendicular if iy = 0. What are their actual lengths? -H- -IH- 2. Is the 1-norm of a vector always greater than its 2-norm? Justify your answer. r hee lt flæ) e 3. Under what condition does a linear combination of two vectors in R? can take you anywhere in 2 dimensions? i *10 log, T > 7 Geometry of a Dot Product 國T。 SEP PAGES 15 a 101 8 1 •.. 10 0000 II
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