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)

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Answered: Find an equation of the line through…

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 7E

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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)