Give the 4 x 4 matrix that rotates points in R about the z-axis through an angle
Question:
Give the 4 x 4 matrix that rotates points in R³ about the z-axis through an angle of -30°, and then translates by P = (5, -2, 1).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (7 reviews)
First construct the 33 matrix for the rotation The vector ei is rotated 30 towar...View the full answer
Answered By
PALASH JHANWAR
I am a Chartered Accountant with AIR 45 in CA - IPCC. I am a Merit Holder ( B.Com ). The following is my educational details.
PLEASE ACCESS MY RESUME FROM THE FOLLOWING LINK: https://drive.google.com/file/d/1hYR1uch-ff6MRC_cDB07K6VqY9kQ3SFL/view?usp=sharing
3.80+
3+ Reviews
10+ Question Solved
Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
Question Posted:
Students also viewed these Mathematics questions
-
In each part, find a single matrix that performs the indicated succession of operations: (a) Compresses by a factor of 1/2 in the x-direction, then expands by a factor of 5 in the y-direction (b)...
-
a) A chord PQ of a circle of radius 5 cm subtends an angle of 70 at the centre, O. Find correct to 3 significant figures, i. the length of the chord PQ; ii. the length of the arc PQ; iii. the area of...
-
The 10-ft flagpole AC forms an angle of 30° with the z axis. It is held by a ball-and-socket joint at C and by two thin braces BD and BE. Knowing that the distance BC is 3 ft, determine the...
-
At the beginning of the year, Anna began a calendar-year business and placed in service the following assets during the year: Asset Date Acquired Cost Basis Computers 1/30 $28,000 Office desks 2/15...
-
Using the information provided in problem 14, construct cash budgets from each of the following scenarios. Use the data from problem 14 as the base case. What insights do we obtain from a cash budget...
-
Cadbury Schweppes manufactures beverages and confectionary candies. Because the company is based in the United Kingdom, it is not required to comply with U.S. GAAP. However, the standards relating to...
-
Briefly discuss the auditing implications of using computer service centers.
-
With regard to private-sector colleges and universities: a. List the three net asset classes required under FASB Statement 117. b. List the financial reports required under FASB Statement 117. c....
-
Three legal interventions that need to be analyzed, particularly relevant to childhood obesity developing during COVID-19, are Health Education Outcomes, a ban on social media, and School lunch...
-
On January 1, Year 1, the Vine Company purchased 60,000 of the 80,000 ordinary shares of the Devine Company for $80 per share. On that date, Devine had ordinary shares of $3,500,000, and retained...
-
When a deep space probe is launched, corrections may be necessary to place the probe on a precisely calculated trajectory. Radio telemetry provides a stream of vectors, X,..., x k , giving...
-
Are (1, -2, 3, 4) and (10, -20, 30, 40) homogeneous coordinates for the same point in R 3 ? Why or why not?
-
If f is continuous, show that
-
A person looking through a \(-10 \mathrm{D}\) lens sees an image that appears \(8.0 \mathrm{~cm}\) from the lens. How far from the lens is the object? A. \(10 \mathrm{~cm}\) B. \(20 \mathrm{~cm}\) C....
-
By approximately how much does the club head slow down as a result of hitting the ball? A. \(4 \mathrm{~m} / \mathrm{s}\) B. \(6 \mathrm{~m} / \mathrm{s}\) C. \(14 \mathrm{~m} / \mathrm{s}\) D. \(26...
-
Our sun's \(5800 \mathrm{~K}\) surface temperature gives a peak wavelength in the middle of the visible spectrum. What is the minimum surface temperature for a star whose emission peaks at some...
-
Write a program that takes the name of a .wav file and a playback rate r as command-line arguments and plays the file at the given rate. First, use StdAudio.read() to read the file into an array a[]....
-
A simple pendulum, with mass \(m=60 \mathrm{~g}\), and inextensible wire \(L=120 \mathrm{~cm}\) long, starts from rest initially at an angle of \(60^{\circ}\) to the vertical. Determine the speed...
-
Consider an ideal air-standard Stirling cycle with an ideal regenerator. The minimum pressure and temperature in the cycle are 100 kPa, 25C, the compression ratio is 10, and the maximum temperature...
-
What is removed during each of the three stages of wastewater treatment: primary, secondary, and tertiary? During which state would you expect items to be recovered that were accidentally flushed,...
-
Controversy persists about whether statins reduce risk of cardiovascular events entirely through their effects on cholesterol levels or whether other pathways, such as reductions in inflammation, are...
-
What is the estimated incidence rate of testicular cancer among this group of men? Express the rate per 100,000 person-years? Cancer A study was conducted in Sweden to relate the age at surgery for...
-
What is the expected number of events in the general population over 22,884 person-years of follow-up? It was reported that the standardized incidence rate in this group compared with men in the...
-
The 3 masses rotate around the x-axis as shown. The rod has a length of 7.0 m, a mass of 1.0kg and rotates around a point 3.0m below the top of the rod. a. b. What is the moment of inertia of the...
-
NO A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 15.0 m/s. The cliff is h = 58.0 m above a flat horizontal beach, as shown in the figure below....
-
A jacket potato vendor charges $4.90 per potato sold. The variable cost of each potato served is 1.03. The stall has a foced cost of $600 per week A potato shortage results in an increased variable...
Study smarter with the SolutionInn App