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(a) Find the distance between the parallel planes x+2y-2z+ 1 = 0 2x + 4y - 4z + 5 = 0

(a) Find the distance between the parallel planes x+2y-2z+ 1 = 0 2x + 4y - 4z + 5 = 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 25RE
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(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 distance between the parallel planes x+2y-2z+ 1 = 0 2x + 4y - 4z + 5 = 0 (b) Find the radius of the circular section in which the sphere |r| = 5 is cut by the plane t. (i+j+ k) = 3√√/3 (c) Show that the plane 2x − 2y +z+12 = 0 touches the sphere x² + y² + z² - 2x - 4y + 2z-3 = 0.
Transcribed Image Text:(a) Find the distance between the parallel planes x+2y-2z+ 1 = 0 2x + 4y - 4z + 5 = 0 (b) Find the radius of the circular section in which the sphere |r| = 5 is cut by the plane t. (i+j+ k) = 3√√/3 (c) Show that the plane 2x − 2y +z+12 = 0 touches the sphere x² + y² + z² - 2x - 4y + 2z-3 = 0.
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