Consider the planes given by the equations − (x + 2y + 5z) = 1, - x=y+z= 4. (a) Find a vector parallel to the line of intersection of the planes. = (b) Find the equation of a plane through the origin which is perpendicular to the line of intersection of these two planes. This plane is

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 7E
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Consider the planes given by the equations
· (x + 2y + 5z) = 1,
x − y + z = 4.
(a) Find a vector parallel to the line of intersection of
the planes.
v =
=
(b) Find the equation of a plane through the origin which
is perpendicular to the line of intersection of these two
planes.
This plane is
Transcribed Image Text:Consider the planes given by the equations · (x + 2y + 5z) = 1, x − y + z = 4. (a) Find a vector parallel to the line of intersection of the planes. v = = (b) Find the equation of a plane through the origin which is perpendicular to the line of intersection of these two planes. This plane is
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