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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

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
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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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