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Consider the plane P :r+y-z=0 in R that contains both the points P:(1,0,1) and P:(0, 1, 1). Answer the following questions: 6.1) Write down the parametric equations of the straight line L that contains hoth P and Pz. 6.2) Use an appropriate system of linear equations to find the equation of the plane that contains the points P, and P3, and is perpendicular to P.

Consider the plane P :r+y-z=0 in R that contains both the points P:(1,0,1) and P:(0, 1, 1). Answer the following questions: 6.1) Write down the parametric equations of the straight line L that contains hoth P and Pz. 6.2) Use an appropriate system of linear equations to find the equation of the plane that contains the points P, and P3, and is perpendicular to 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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hi,please do 6.1 & 6.2

Question 6 Consider the plane P : x+y-z=0 in R® that contains both the points P(1,0, 1) and P2(0, 1,1). Answer the following questions: 6.1) Write down the parametric equations of the straight line L that contains hoth P and P2. 6.2) Use an appropriate system of linear equations to find the equation of the plane that contains the points P, and P2, and is perpendicular to P.
Transcribed Image Text:Question 6 Consider the plane P : x+y-z=0 in R® that contains both the points P(1,0, 1) and P2(0, 1,1). Answer the following questions: 6.1) Write down the parametric equations of the straight line L that contains hoth P and P2. 6.2) Use an appropriate system of linear equations to find the equation of the plane that contains the points P, and P2, and is perpendicular to P.
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