Find a plane containing the line- 2x - 2y + 8z = 4x(t)y(t)z(t)===3 + 5t7-t and orthogonal to the plane1 - 7t

Given plane and line equations:- Plane: -2x-2y+8z=4line: xt=3+5t,yt=7-t,zt=1-7t

Answered: x(t) = Find a plane containing the line…

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 21E

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x(t) = Find a plane containing the line y(t) z(t) - 2x - 2y + 8z = 4 = || || 3 + 5t 7-t and orthogonal to the plam 1 - 7t