Prove that the planes (i) 12x – 15y + 16z – 28 = 0, (ii) 6x + 6y – 7z –8 = 0, and (üi) 2x + 35y - 39z + 92 = 0, have a common line of intersection. Prove that the point in %3D which the line 3 e-1 y z- 3 meets the third plane is %3D 1 | equidistant from other two planes.
Prove that the planes (i) 12x – 15y + 16z – 28 = 0, (ii) 6x + 6y – 7z –8 = 0, and (üi) 2x + 35y - 39z + 92 = 0, have a common line of intersection. Prove that the point in %3D which the line 3 e-1 y z- 3 meets the third plane is %3D 1 | equidistant from other two planes.
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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![Prove that the planes
(i) 12x - 15y + 16z – 28 = 0, (ii) 6x + 6y - 7z - 8 = 0,
and (iii) 2x + 35y – 39z + 92 = 0,
have a common line of intersection. Prove that the point in
x-1y
2-3
meets the third plane is
1
which the line
- 2
equidistant from other two planes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0314188f-3065-401e-b9fc-27702c7a5509%2Fd4c4320e-124f-481a-a2c2-6edb8d6c8b52%2Ffd0qujc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove that the planes
(i) 12x - 15y + 16z – 28 = 0, (ii) 6x + 6y - 7z - 8 = 0,
and (iii) 2x + 35y – 39z + 92 = 0,
have a common line of intersection. Prove that the point in
x-1y
2-3
meets the third plane is
1
which the line
- 2
equidistant from other two planes.
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