Let Note that u 1 and u 2 are orthogonal but that u 3 is not orthogonal to u 1 or u 2 It can be shown that u 3 is not in the subspace W spanned by u 1 and u 2 Use this fact to construct a nonzero vector v in R 3 that is orthogonal to u 1 and u 2 2 and

Question: Let Note that u 1 and u 2 are orthogonal but that u 3 is not orthogonal to u 1 or u 2 . It

Let ---------] = -2 and

Note that u₁ and u₂ are orthogonal but that u₃ is not orthogonal to u₁ or u₂. It can be shown that u₃ is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁ and u₂.

---------] = -2 and

Step by Step Solution

★★★★★

3.32 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

By the Orthogonal Decomposition Theorem u3 is the sum of a vector in W Spanuu and a vector v orth... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Linear Algebra And Its Applications Questions!

Let u 1 and u 2 be as in Exercise 19, and let It can be shown that u 4 is not in the subspace W spanned by u 1 and u 2 . Use this fact to construct a nonzero vector v in R 3 that is orthogonal to u 1...

In Exercises 1-3, find the orthogonal projection of v onto the subspace W spanned by the vectors ui.(You may assume that the vectors ui are orthogonal.) 1. 2. 3. Ll 4 V 114 LI 221 123

Determining the Optimal Product Mix with One Constrained Resource and a Sales Constraint Comfy Fit Company manufactures two types of university sweatshirts, the Swoop and the Rufus, with unit...

6.2 Write on paper please Questions : 1,3, 5, 7, 9 Exercise Set 6.2 In Exercises 1-2, find the cosine of the angle between the vectors with In Exercises 9-10, show that the vectors are orthogonal...

Fraction of hosts infected Case Study 2 Hosts, Parasites, and Time-Travel 0.8 0.6 0.4 0.2 0 Past Contemporary Future Time Figure \u00031 Horizontal axis is the time from which the parasite was taken,...

Directions: Please help with the following visual questions. For the multiple choice ones you can simply show the answer to save time however please provide WORK for my understanding for the...

please calculate and answer the questions below. Formulas for Excell needed as well. D G H K M Information from McCormick Your task is to make an estimate of McCormick & Company's Weighted Average...

Required Information Comprehensive Problem 8-85 (LO 8-1, LO 8-2, LO 8-3, LO 8-4, LO 8-5) (The following information applies to the questions displayed below.) John and Sandy Ferguson got married...

Please help:( 24. [-/1 Points] DETAILS LARLINALG8 5.1.016. 0/100 Submissions Used Find the vector v with the given length and the same direction as u. | | v|| = 3, u = (-4, 1, -1, 0) Need Help? Read...

The company you work for has a good return on assets, but inventory turnover and receivables turnover are low for your industry. You also have ongoing cash flow problems. Is there a connection?...

In a test temperature, measurements of temperature were made 100 times with variations in apparatus and procedures. After applying the corrections the following results are obtained: Temperature (C)...

5. What is the purpose of the 8259A PIC controller?

=+b. Would a pie chart have also been an effective way to summarize these data? Explain why or why not.

Find the p-value of your test. Is this strong enough evidence for you to conclude that Vitamin C prevented colds in the skiers? Write a sentence stating your conclusion as it applies to the question....

Can we generalize our conclusion to the entire human population? What should be true of the 279 skiers in order for your conclusion to be drawn to the entire human population? Discuss how the sample...

Can we make a cause-and-effect conclusion? Why or why not?

can someone help me with this please so lost? Z=0 7 19:00 01-X =T + W-X=7 indicating high sociability. The average rating has been 4.23, with s - 1.02. What is the probability of a score of 3.5 or...

Futura Company purchases the 79,000 starters that it installs in its standard line of farm tractors from a supplier for the price of $11.90 per unit. Due to a reduction in output, the company now has...

4,686 units. O 4,300 units. O 3,900 units. 4,100 units. 4,094 units