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6) Consider the plane P: z+y-2:= 0 in R³ that contains the point P₁(1, 1, 1). Answer the following questions: 1 6.1) Write down the parametric equations of the straight line L that contains P₁ and is perpendicular to P. A 6.2) Find the equation of the plane P' that is at distance 1 from P, is parallel to P and lies above P.

6) Consider the plane P: z+y-2:= 0 in R³ that contains the point P₁(1, 1, 1). Answer the following questions: 1 6.1) Write down the parametric equations of the straight line L that contains P₁ and is perpendicular to P. A 6.2) Find the equation of the plane P' that is at distance 1 from P, is parallel to P and lies above P.

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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6) Consider the plane P: z+y-22 = 0 in that contains the point P₁(1, 1, 1). Answer the following questions: 6.1) Write down the parametric equations of the straight line L that contains P₁ and is perpendicular to P. 6.2) Find the equation of the plane P' that is at distance 1 from P, is parallel to P and lies above P.
Transcribed Image Text:6) Consider the plane P: z+y-22 = 0 in that contains the point P₁(1, 1, 1). Answer the following questions: 6.1) Write down the parametric equations of the straight line L that contains P₁ and is perpendicular to P. 6.2) Find the equation of the plane P' that is at distance 1 from P, is parallel to P and lies above P.
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