Find the equation z = ax + by + c for the plane passing through the three

Question:

Find the equation z = ax + by + c for the plane passing through the three points p1 = (0, 2,-1), P2 = (-2,4,3), p3 = (2, -1, -3).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

See More Books

Question Posted: Jun 17, 2016 08:23 AM

See More Questions

Find the equation of the plane passing through the origin and parallel to a. The xy-plane b. The plane x + y + z = 1
Find the circle x2 + y2 + ax + by + c = 0 passing through the following points. (a) (-2, 1), (5, 0), and (4, 1) (b) (1, 1), (5,-3), and (-3,-3)
Find the equation of the plane through (-1, 2, -3) and parallel to the plane 2x + 4y - z = 6.
The Assembly Department of Interface, Inc., manufacturer of computers, had 4500 units of beginning inventory in September, and 8000 units wore transferred to it from the Production Department. The...
You have been asked to personally recommend a new travel agency to handle all airfare, accommodation, and related travel needs for your organization of 500 employees. One of your colleagues, who is...
What are the rules of thumb for determining whether franchising is a good choice for a particular business?
P(x > 185) The random variable x is normally distributed with mean = 174 and standard deviation = 20. Find the indicated probability.
Texas Roadhouse opened a new restaurant in October. During its first three months of operation, the restaurant sold gift cards in various amounts totaling $3,500. The cards are redeemable for meals...
Some enterprising physics students working on a catapult decide to have a water balloon fight in the school hallway. The ceiling is of height 3 . 4 m, and the balloons are launched at a velocity of 9...
Candidates for political office realize that different levels of support among men and women may be a crucial factor in determining the outcome of an election. One candidate finds that 52% of 473 men...
Solve the following systems of equations by Gaussian Elimination: (a) x1 - 2x2 + 2x3 = 15 x1 - 2x2 + x3 = 10 2x1 - x2 - 2x3 = -10 (b) 2x1 - x3 = 1 - 4x1 + 2x3 - 3x3 = -8 x1 - 3x2 + x3 = 5 (c) x2 - x3...
Show that a 2 Ã 2 matrix (a) Nonsingular if and only if ad - bc 0. (b) Regular if and only if ad - bc 0 and Î± 0. A-C )is 4
A lithotripter is a machine used to crush kidney stones using shock waves. The patient is in an elliptical tub with the kidney stone at one focus of the ellipse. Each beam is projected from the other...
Examine Figure 5.1 and determine the name of the element that Mendeleev predicted before its discovery and called ekaboron. Figure 5.1 Group Formula of Oxide I R0 = 32 3 2 2011 21 Cu Ag Au II RO Be...
Given the Customer class and driver described in the previous exercise, add code that removes from the customers list the discouraged customer who has been standing immediately behind (after) the...
Modify the compound-interest application of Fig. 4.6 to repeat its steps for interest rates of 5%, 6%, 7%, 8%, 9% and 10%. Use a for loop to vary the interest rate. Fig. 4.6
Modify the application in Fig. 4.6 to use only integers to calculate the compound interest. Treat all monetary amounts as integral numbers of pennies. Then break the result into its dollars and cents...
Write an app that draws eight concentric circles in a Canvas. For each new circle, increase the radius value by 5 pixels. Choose the circles colors, randomly.
Consider a pair of processes in a shared memory system such that process A updates a data structure, and then sets a flag to indicate that the update is completed. Process B monitors the flag, and...
The trade-off theory relies on the threat of financial distress. But why should a public corporation ever have to land in financial distress? According to the theory, the firm should operate at the...
Use GMRES to solve the system in Exercise 9.4.33. Compare the rate of convergence with the CG algorithm in Exercise 9.6.8. Data From Exercise 9.4.33 The matrix arises in the finite difference (and...
Let v = x + i y be an eigenvector corresponding to a complex, non-real eigenvalue of the real n n matrix A. (a) Prove that the Krylov subspaces V (k) for k 2 generated by both x and y are all...
Suppose u (0) = 1. Find u (1) , u (10) , and u (20) when (a) u (k+1) = 2u (k) , (b) u (k+1) = .9u (k) , (c) u (k+1) = i u (k) , (d) u (k+1) = (1 2 i)u (k)
Assignment 1 1. Write a program to implement the following formula for a -10 and b = 4; result = (a + 2b - 4ab)^4 // ^4 means to the power of 4 (1 mark) 2. Write a program to implement result = sin...
I have most of it done, I just need help fixing some things. import java.util.Scanner; public class Main { private String[] database; private Scanner input; public Main() { database = new...
Part 2 - WeatherMonitor Suppose you observe daily temperatures and want to know how hot each day is compared to recent days. That is, you want to: keep track of daily temperature values and know for...

Find the equation z = ax + by + c for the plane passing through the three

Question:

Step by Step Answer:

Hence for the final analysi...View the full answer

Applied Linear Algebra

Students also viewed these Linear Algebra questions