Question: Let L be the line given by < 3, -1,2 > +t < 1, 1, 1 >, for tR. (12.1) Show that the above

Let L be the line given by < 3, -1,2 > +t < 1, 1, 1 >, for tR. (12.1) Show that the above line L lies on the plane -2x + 3y - 4z + 1 = 0. (12.2) Find an equation for the plane through the point P = (3, -2, 4) that is perpendicular to the line < 8, 2,0 > + t < 3, 2, 7 >. (3) (4)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To show that the line L lies onthe plane 2x3y4z10 we can subtitu... 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 Mathematics Questions!

Described below are six independent and unrelated situations involving accounting changes. Each change occurs during 2021 before any adjusting entries or closing entries were prepared. Assume the tax...

re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...

Refer to Exercise. a. Are the required conditions satisfied? b. Is multicollinearity a problem? If so, explain the consequences.

Identify a company that is a member in a supply chain. Explain how its presence in the chain affects the companys marketing decisions for pricing, promoting, and distributing its products.

Hartman Company acquired 35% of the voting stock of Zhou Company for $90 million cash. In year 1, Zhou had a net income of $50 million and paid cash dividends of $30 million. Prepare a tabulation...

1.62 Old Faithful The following data are the waiting times between eruptions of the Old Faithful geyser in Yellowstone National Park. 24 Use one of the graphical methods from this chapter to describe...

The Spurling Group is considering using magazine outlets to advertise their online Web site. The company has identified seven publishers. Each publisher breaks down its subscriber base into a number...

Problem 10-2A Record equity transactions and indicate the effect on the balance sheet equation (L010-2, 10-3, 10-4, 10-5) [The following information applies to the questions displayed below.] Donnie...

Ahmed carries on business as a general trader. He has not kept proper accounting records and he asks you to help him prepare his Trading and Profit and Loss Account for the year ended 30 September...

Determine the intersection of the following systems of planes: [9] x+3y-z=6 2x-y+2=3 a) 2x+6y-2z =12 b) 3x -2y+2z =4 -x+y-2z =-2 -2x+y-z=0

In the two debugging exercises below can someone point out to me where errors are and what Correct coding is to fix the errors. // Program asks students for score on test and displays corresponding...

1. Oliver, Patrick & Quincy LLP, is beginning liquidation. It has no cash, total liabilities of P60,000 including a P10,000 loan payable to Patrick, and equal partners' capital account balances of...

Jump to level 1 A multimedia application allows users to create and edit their own songs and videos The customer owns the servers used in customer facilities. Which layers are managed by the...

Consider the following relations: Student (student_no, name, address, GPA) Course (course_no, title, texbook) Instructor (instructor_no, name, phone_no, specialization) Registration (student_no,...

"Explain the relationship between the EMPLOYEE and PROJECT table, EMPPROJACT and ACT table" DROP DATABASE IF EXISTS SAMPLE; CREATE DATABASE SAMPLE; USE SAMPLE; CREATE TABLE DEPARTMENT ( DEPTNO...

Herman purchased undeveloped land for $75,000 on July 10, 2011, and has held it as an investment since then. On May 9, 2017, when the land is worth $140,000, he donates it to a private nonoperating...

Sandcastles, Inc.s management has recently been looking at a proposal to purchase a new brick molding machine. With the new machine, the company would not have to buy bricks. The estimated useful...

8. Vehicle Colors No matter the make or model of a new vehicle, white and silver/gray continue to make the top five or six colors across all categories. The top six colors and their percentage of the...

7. Is Your Food Safe? How confident are you that the food you purchase is safe to eat? This question was asked in a CBS News Poll.17 The data that follow reflect the results of the responses to this...

9. Vehicle Colors, again Refer to Exercise 8. The researcher wants to see if there is a difference in the color distributions for compact/sports cars versus full/intermediate cars.18 Another random...