5. (a) Find the equation of the plane that passes through the thre points A(1,0,0), B(0, 2,0), and C(0,0,3). (b) Find the distance between the origin and this plane. a) A B =<-1, 2, 0> A Č = <-1,0, 3) Then = AB x Ā? Ĉ = = 6 i +3j+2k n = 1 2 ーイ Therefors, f the plane we can write an equation の 6(o( -1) +3(y-o) + 2(?-0) =0 =) 6x + 3y+ 2 Z= 6
5. (a) Find the equation of the plane that passes through the thre points A(1,0,0), B(0, 2,0), and C(0,0,3). (b) Find the distance between the origin and this plane. a) A B =<-1, 2, 0> A Č = <-1,0, 3) Then = AB x Ā? Ĉ = = 6 i +3j+2k n = 1 2 ーイ Therefors, f the plane we can write an equation の 6(o( -1) +3(y-o) + 2(?-0) =0 =) 6x + 3y+ 2 Z= 6
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
Problem 27E
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