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8. Let P(1,2,3), Q(1,-1,-2), and R(0,0,0) be the three points in R³ a. Find an equation of the plane through P, Q, and R. The coefficient on x should be -1. b. Find the area of the triangle formed by PQR c. Find the equation of the line through P that is perpendicular to the plane from (a) - hint: use the line when the x = -t+1 if the line is in the form

8. Let P(1,2,3), Q(1,-1,-2), and R(0,0,0) be the three points in R³ a. Find an equation of the plane through P, Q, and R. The coefficient on x should be -1. b. Find the area of the triangle formed by PQR c. Find the equation of the line through P that is perpendicular to the plane from (a) - hint: use the line when the x = -t+1 if the line is in the form

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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8. Let P(1,2,3), Q(1,-1,-2), and R(0,0,0) be the three points in R³ a. Find an equation of the plane through P, Q, and R. The coefficient on x should be -1. b. Find the area of the triangle formed by PQR c. Find the equation of the line through P that is perpendicular to the plane from (a) hint: use the line when the x = -t+1 if the line is in the form <x,y,z> -
Transcribed Image Text:8. Let P(1,2,3), Q(1,-1,-2), and R(0,0,0) be the three points in R³ a. Find an equation of the plane through P, Q, and R. The coefficient on x should be -1. b. Find the area of the triangle formed by PQR c. Find the equation of the line through P that is perpendicular to the plane from (a) hint: use the line when the x = -t+1 if the line is in the form <x,y,z> -
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