(a) Find a vector parallel to the line of intersection of the planes -x + 3y + 4z : 0 and -x - 3y – 4z = −2. = ü = <0,4,3> (b) Show that the point (1, -1, 1) lies on both planes. Then find a vector parametric equation for the line of intersection. r(t) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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(a) Find a vector parallel to the line of intersection of the
planes -x + 3y + 4z = 0 and -x - 3y - 4z = -2.
<0,4,3 >
v
=
(b) Show that the point (1, -1, 1) lies on both planes.
Then find a vector parametric equation for the line of
intersection.
r(t) =
Transcribed Image Text:(a) Find a vector parallel to the line of intersection of the planes -x + 3y + 4z = 0 and -x - 3y - 4z = -2. <0,4,3 > v = (b) Show that the point (1, -1, 1) lies on both planes. Then find a vector parametric equation for the line of intersection. r(t) =
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