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Let a plane ax + by + cz + 1 = 0, where a, x = y = z, 45° with the line x=y-z = 0 and (2, 1, 1) is 3 units. Find the value of 0 and the equation of the plane. b and c are parameters, make an angle 60° with the line with the plane x = 0. The distance of the plane from point

Let a plane ax + by + cz + 1 = 0, where a, x = y = z, 45° with the line x=y-z = 0 and (2, 1, 1) is 3 units. Find the value of 0 and the equation of the plane. b and c are parameters, make an angle 60° with the line with the plane x = 0. The distance of the plane from point

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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Let a plane ax - by + cz + 1 = 0, where a, b and c are parameters, make an angle 60° with the line x=y=z, 45° with the line x=y-z = 0 and 0 with the plane x = 0. The distance of the plane from point (2, 1, 1) is 3 units. Find the value of 0 and the equation of the plane.
Transcribed Image Text:Let a plane ax - by + cz + 1 = 0, where a, b and c are parameters, make an angle 60° with the line x=y=z, 45° with the line x=y-z = 0 and 0 with the plane x = 0. The distance of the plane from point (2, 1, 1) is 3 units. Find the value of 0 and the equation of the plane.
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