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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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 19EQ
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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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