Question: Show that the vectors a = (1, 1, 1), b = (1, -1, 0), and c = (-1, -1, 2) are mutually orthogonal, that is,

Show that the vectors a = (1, 1, 1), b = (1, -1, 0), and c = (-1, -1, 2) are mutually orthogonal, that is, each pair of vectors is orthogonal.

Step by Step Solution

★★★★★

3.53 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b 1 1 1 1 1 0 0 a c ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

955-M-C-D-E (2916).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

Let f = f1(x) + i f2(x) and g = g1(x) + ig2(x) be vectors in complex C[0, 1] and let this space have the inner product defined in Exercise 39. Show that the vectors where m = 0, 11, 2, ..., form an...

Q:

(a) Show that the vectors are linearly independent. (b) Which of the following vectors are in their span? (i) (ii) (iii) (iv) (c) Suppose b = (a,b,c,d)T lies in their span. What conditions must a, b,...

Q:

(i) Show the equivalence of the Euclidean norm and the 1 norm on Rn by proving ||v||2 ||v|| n ||v||2. (ii) Verify that the vectors in Exercise 3.3.31 satisfy both inequalities. (iii) For which...

Q:

(a) Show that the polynomials p1(x) = 1, p2(x) - 1/2 - p3(x) = x2 - x + 1/6 are mutually orthogonal with respect to the L2 inner product on the interval [0, 1 ]. (b) Show that the functions sin n x,...

Q:

Verify that a (b c) (a b) c for the three vectors a = (1, 0, 0), b = (1, 2, 0) and c = (1, 1, 1).

Q:

4 This assignment, based on the content of Unit 4 of the Study Guide, is worth 3% of your grade. We recommend that you hand it in after you complete Unit 4. You must show all of your work in order to...

Q:

y' = ky , to = 0, k has n linearly independent eigenvector insing notation of Section 7.7 in the text D. using a careful proof in a couple of steps to show that P ( t) = I (t) T 10) , and then show...

Q:

help me those hw questions If a problem asks you to justify your answer, you need to write a few words explaining your conclusion. You may not use a calculator on this exam. 1. Consider A= TI. v. -...

Q:

Show that {u1, uz} is an orthogonal basis for R2. Then express x as a linear combination of the u's. u= ,u= ,andxz 1 6 2 s 1 Which of the following criteria are necessary for a set of vectors to be...

Q:

Ryan Ren Assignment Homework 2 due 09/14/2017 at 02:15pm PDT 1. (1 pt) Compute the following product. \u0014 \u0015\u0014 \u0015 \u0014 5 0 4 7 4 = 0 7 1 7 7 Math4A-02-M17-Wen \u0015 Answer(s)...

Q:

The public image of business in the latter part of the nineteenth century was hardly flattering The adventures of so-called "Robber Barons" constantly made the headlines and their exploits matched...

Q:

The following information is available for Pioneer Company Sales price per unit is $90. . November and December, sales were budgeted at 2.940 and 3,400 units, respectively. Variable costs are 12...

Q:

Explain whether each of the following events represents (i) a change in demand (a shift of the demand curve) or (ii) a movement along the demand curve (a change in the quantity demanded). a. A store...

Q:

The term capitalism refers to which of the following? a. A religion based on amassing capital. b. An economic system characterized by private ownership of resources, and decentralized market...

Q:

Which function approaches infinity faster as x approaches 0: 1/x or 1/x. Many improper integrals can be evaluated by comparing functions with the method of leading behavior. State which of the given...

Q:

Evaluate the following improper integrals or say why they don't converge. Jodt edi

Q:

Evaluate the following improper integrals or say why they don't converge. +00 dx x2 J5.

Q:

Schultz Industries is considering the purchase of Arras Manufacturing. Arras is currently a supplier for Schultz, and the acquisition would allow Schultz to better control its material supply. The...

Q:

Which of the following is true? Select the correct option ( s ) and click rabmit. Both encryption and hashing are one - way operations Encryption is a two - way operation while hashing is a one - way...

Q:

Suppose you would like to estimate the average daily number of car crashes that occur in your hometown. With that in mind, you take a sample of 15 days where you record the number of car crashes in...