Find an equation of the line through P(1,-2,4) with direction vector v=[2,4,-4] Find the equation of the plane containing the points A(2,1,1), B(0,4,1), and C(-2,1,4)

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
Section10.6: The Three-dimensional Coordinate System
Problem 9E
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for part b please, thank you!

a) Find an equation of the line through P(1,-2,4) with direction vector v=[2,4,-4]
b) Find the equation of the plane containing the points A(2,1,1), B(0,4,1), and C(-2,1,4)
c) Find the intersection of the line in a) and the plane in b)
Transcribed Image Text:a) Find an equation of the line through P(1,-2,4) with direction vector v=[2,4,-4] b) Find the equation of the plane containing the points A(2,1,1), B(0,4,1), and C(-2,1,4) c) Find the intersection of the line in a) and the plane in b)
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