Question: Consider the vectors a = 3 1 (1, 2, 0) and b = 3 1 (-2, 1, 0) in R 3 . (a) Calculate the

Consider the vectors a =31 (1, 2, 0) and b =31 (-2, 1, 0) in R3.

(a) Calculate the inner products a,band a,a.

(b) Are these vectors orthogonal? please justify why as I don't know

(c) Are the vectors an orthonormal set of vectors?please justify why as I don't know

(d) Are the vectors a, b and c = a*b an orthonormal basis of R3?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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

Students Have Also Explored These Related Mathematics Questions!

Q:

Please read the question, thanks. No plagiarized answer please. CASE STUDY 2 : Flashy Flashers, Inc. (30 marks) Flashy Flashers is medium sized frim employing 900 persons and 125 managerial and...

Q:

1. Consider the vectors (2, -3, 1), (-1,7, -3), and (8, -1,-1). (a) Find a basis for the span of these vectors showing a row reduced matrix to support your result. State the dimension of this...

Q:

Part II: Filthy Rich (20 points) As a Real Estate Tycoon you are planning to purchase properties in different blocks around the city. However,...

Q:

I need help to complete the task. Attached in uncompelete report based on this organization. www.icmaz.org. The attached instruction will give you direction and the excelsheet protfolio will provide...

Q:

I need help to complete the task. Attached in uncompelete report based on this organization. www.icmaz.org. The attached instruction will give you direction and the excelsheet protfolio will provide...

Q:

Objective: To be familiar with fuzzy clustering Consider the following table which shows data related to 25 products. Cluster them into 4 clusters using fuzzy c-means as discussed in the lecture. ID...

Q:

Sport Company is a manufacturer of basketball and football shoes. Each product requires process involving three machines where each machine has its own processing time capacity constraint (in hour)....

Q:

Tatiana Singh Limited, a well - established company, provides a range of products and services in the consumer electronics industry. The manager, Andile Mkhize, requested for a report of the...

Q:

THIS HAS BEEN SOLVED.. NO NEED TO SOLVE IT. THANK YOU! a) Consider the 4-bit shift register with parallel load shown below. Complete the table based off of the input values given, assuming...

Q:

Please provide answer by also showing work in excel Hyatt WACC Beta | CAPM | WACC Team Date Team Members Present 1: Determine Financial Structure (2 pts) Amount $1,200.0M $4,800.0M % 20.40% 79.60%...

Q:

The inventory footnote to the annual report of Ballistic Brothers & Co. reads in part as follows: Because of continuing high demand throughout the year, inventories were unavoidably reduced and could...

Q:

QUESTION THREE (20 marks) a) When is it permissible to use the Poisson distribution as an approximation to the binomial distribution? [1 mark] b) A factory produces an electronic component. The...

Q:

these are used by advertisers to keep track of your web activity as you move from one site to the next

Q:

The _layer of the Open Systems Interconnection (OST) model provides services that support users' tasks, such as file transfers, database access, and e-mail. Application Presentation Network Data Link

Q:

An action plan is prepared.

Q:

2. In this chapter, the reader should reflect on the following concepts: personal change competence, personal achievements, personal benchmarking, personal motivation strategy, personal mastery...

Q:

The tools are structured and for improving the individuals communication skills.