Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

Find equations of the planes that are parallel to the plane $ x + 2y - 2z = 1 $ and two units away from it.

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Sriparna Bhattacharjee

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

02:12

Wen Zheng

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 5

Equations of Lines and Planes

Vectors

Johns Hopkins University

Missouri State University

Harvey Mudd College

University of Nottingham

Lectures

02:56

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

11:08

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

03:30

Find equations of the plan…

03:16

Find the equation of the p…

01:59

08:31

Find an equation of the pl…

06:06

Determine the Cartesian eq…

01:32

Verify that the two planes…

01:08

Equations of planes Find a…

02:23

01:11

Show that the planes given…

01:26

02:30

Find equations for the pla…

The question they're asking to find the equations of the plane that are parallel to the plane. Express to wipe -2 is equal to one. Yeah. And the two units. Are we drunk this Flynn? So In the question they have given the equation of playing one and We can rearrange this equation in the form that is equal to express to Y -2. Z -1 equal to zero. So in the regular on the equation of a plane is written as Express be bypasses it is equal to zero. So here in the question of the value of A is one. The value of B is too And the value of C is -2. And therefore Here the for the plane one the value of being is -1. So in order to find the distance between the given plane and the plane outs in the question the formula is equal to mhm modular value of D. One minus D. Two divided by route. Under escort. Business courtesy square. So in order to find the equation of the parallel plane. The formula for distance is this. And for the two minding the value of The uh the two we have to put all the values that is you're the one is equal to -1. And the equation for plenty to let it be equal to X plus b. Right to caesar plus the ease equal to zero. And here they will be did too for playing too. And therefore as this Prince a palette and two units come. It's so we can put all the values in the equation to get up Equations of planes. So the is equal to two. And the formula is equal to model the value of the 2-plus 1. Since the one is he going to -1, divided by route under the Value of the normal vector for the plain one scalar form. So this is equal to model the value of the two plus one equal to six from the situation. Therefore, after putting the positive and negative values of the modelers mm belle in the left hand side, we get the two is equal to positive five, four positive modular value. And and we get the two is equal to negative seven for negative Modeler valley. So after finding these two values of being breathe, get the equation of the plane as asking the question that is uh express to y minus 20 for the two positive fi this equation and for the two negative 70 situations. So these are the equations of the plane is asking the question and it's really quite answer

View More Answers From This Book

Find Another Textbook

02:51

EB = EA and mZA =67* . Explain why the measure of In the following diagram, …

01:12

Point A is graphed at (-4, 3). Point C is the image after Point A is transla…

04:20

Given: HD = JD and HC = JBProve: HB = JC

00:32

CHAPTER 24 PRACTICE PROBLEMS Jayden wants t0 use square pavers that _ The ga…

01:05

Question 2 / 11Your office policy is to reorder supplies when fewer than…

02:39

Determine if the tables and graphs below express direct variation between th…

01:38

Cite a real life situation that describes the concept of inverse variation. …

02:06

For items 15-20,the figure shows three Give the length of the concentric cir…

01:56

Question A hula hoop has a diameter of 44 inches: What is the circumference …

01:47

Choose ALL answers that describe the quadrilateral CDEF if CD 18, DE 30,EF 2…