Answered: Given the point P (2, 4, –1) and the…

Given the point P (2, 4, –1) and the line L: x = 1+ t; y=2+ 4t ; = =-3t Find the equation of the plane through the point P and orthogonal to the line L.

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 35E

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Question

Given the point P (2, 4, –1) and the line L: x = 1+ t; y=2+ 4t ; = =-3t
Find the equation of the plane through the point P and orthogonal to the line L.

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