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(4) (a) Find the intersection point of the line L; x = 3+t, y=-1-2t, z = -1-2t with the planes x + 2y - 22 = -11 and 2 + 2y 2z = 7 call them P and Q. Find the distance D from P to Q. Is D the distance between the planes? Why? (c) Find the midpoint R of the segment from P to Q. (d) Find the equation of the plane that contains R and is parallel to the plane z + 2y - 2z = 7.

(4) (a) Find the intersection point of the line L; x = 3+t, y=-1-2t, z = -1-2t with the planes x + 2y - 22 = -11 and 2 + 2y 2z = 7 call them P and Q. Find the distance D from P to Q. Is D the distance between the planes? Why? (c) Find the midpoint R of the segment from P to Q. (d) Find the equation of the plane that contains R and is parallel to the plane z + 2y - 2z = 7.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(4) (a) Find the intersection point of the line L; x = 3+t, y=-1-2t, z = -1-2t with the planes x + 2y = 2z=-11 and 2 + 2y 2z = 7 call them P and Q. Find the distance D from P to Q. Is D the distance between the planes? Why? (c) Find the midpoint R of the segment from P to Q. (d) Find the equation of the plane that contains R and is parallel to the plane z + 2y - 2z = 7.
Transcribed Image Text:(4) (a) Find the intersection point of the line L; x = 3+t, y=-1-2t, z = -1-2t with the planes x + 2y = 2z=-11 and 2 + 2y 2z = 7 call them P and Q. Find the distance D from P to Q. Is D the distance between the planes? Why? (c) Find the midpoint R of the segment from P to Q. (d) Find the equation of the plane that contains R and is parallel to the plane z + 2y - 2z = 7.
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