a) | Find the parametric and symmetric equations of the line L which is the intersection of the planes - x + y + z = 0 and 2x = y + z = 0. Provide your detail solution. Find a point P on the line L and another point Q that is not on the line L. b) Find an equation of the plane which contains the line L you found in part a and perpendicular to the plane x + y - z = 1. Provide your detail solution.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
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Solve a and b part only
a)
Find the parametric and
symmetric equations of the line L which is
the intersection of the planes
x + y + z = 0 and 2x - y + z = 0.
Provide your detail solution. Find a point P
on the line L and another point Q that is
not on the line L.
b)
Find an equation of the plane
which contains the line L you found in
part a and perpendicular to the plane
x + y - z = 1. Provide your detail
solution.
Find the angle between the line
L you found in part a and the negative side
of the x-axis. Provide your detail solution.
Transcribed Image Text:a) Find the parametric and symmetric equations of the line L which is the intersection of the planes x + y + z = 0 and 2x - y + z = 0. Provide your detail solution. Find a point P on the line L and another point Q that is not on the line L. b) Find an equation of the plane which contains the line L you found in part a and perpendicular to the plane x + y - z = 1. Provide your detail solution. Find the angle between the line L you found in part a and the negative side of the x-axis. Provide your detail solution.
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