(b) Find the equation of a plane containing the line of intersection of the planes and x+y+z = 6 2x + 3y + 4z + 5 = 0 passing through (1, 1, 1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Question

(a)Find the angle between the line

                          r=i+2j-k+gamma(i-j+k)

and the plane

                          r.(2i-j+k)=4

 

(b) Find the equation of a plane containing the line of intersection of the planes

                           x+y+z=6

and

                         2x+3y+4z+5=0

(a)
Find the angle between the line
r = i +2j − k + gamma(i − j + k)
and the plane
r. (2i- j + k) = 4
(b) Find the equation of a plane containing the line
of intersection of the planes
and
x+y+z = 6
2x + 3y + 4z +5 = 0 passing through (1, 1, 1)
Transcribed Image Text:(a) Find the angle between the line r = i +2j − k + gamma(i − j + k) and the plane r. (2i- j + k) = 4 (b) Find the equation of a plane containing the line of intersection of the planes and x+y+z = 6 2x + 3y + 4z +5 = 0 passing through (1, 1, 1)
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