Homework Help is Here – Start Your Trial Now!
Math
Calculus
The vector V is parallel to the line of intersection. To find a point on the line, take any point common to the two planes. Substituting z = 0 in the plane equations and solving for x and y simultaneously gives the point (2,3,0). Therefore, the line is %3D

The vector V is parallel to the line of intersection. To find a point on the line, take any point common to the two planes. Substituting z = 0 in the plane equations and solving for x and y simultaneously gives the point (2,3,0). Therefore, the line is %3D

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question
Please help me understand how the problem gets points (2,3,0) at the end to find the parametric equation. I do not fully understand how to please help me. thank you.
5. For the following two planes x+2y -4z =8 and 6x -2 y +3 z = 6 (a) Find the angle between the two planes. (b) Find parametric equations for the line in which the two planes intersect. (c) Find an equation of the plane that is perpendicular to the two planes and containing the point (5,1,-2). (b) The line of intersection is perpendicular to the planes'normal vectors, and therefore parallel tp vector n, xn,, which is given by: i j v=n, xñ, = 1 k | 2 -4 2. %3D 6 -2 -2 3 6 -2 1, =-2i - 27j-14k The vector V is parallel to the line of intersection. To find a point on the line, take any point common to the two planes. Substituting z = 0 in the plane equations and solving for x and y simultaneously gives the point (2,3,0). Therefore, the line is given by theparametric equations: x = 2-2t y=3-271, z=-14t, 18<t<o
Transcribed Image Text:5. For the following two planes x+2y -4z =8 and 6x -2 y +3 z = 6 (a) Find the angle between the two planes. (b) Find parametric equations for the line in which the two planes intersect. (c) Find an equation of the plane that is perpendicular to the two planes and containing the point (5,1,-2). (b) The line of intersection is perpendicular to the planes'normal vectors, and therefore parallel tp vector n, xn,, which is given by: i j v=n, xñ, = 1 k | 2 -4 2. %3D 6 -2 -2 3 6 -2 1, =-2i - 27j-14k The vector V is parallel to the line of intersection. To find a point on the line, take any point common to the two planes. Substituting z = 0 in the plane equations and solving for x and y simultaneously gives the point (2,3,0). Therefore, the line is given by theparametric equations: x = 2-2t y=3-271, z=-14t, 18<t<o
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS