Let L be the line r(t)=(1+1,1-2r,3+5t) and II be the plane 2x-y+3z-48=0. a Find the point of intersection Q of L and II b. Find an equation of the plane P that passes through the point Q and is orthogonal to 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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Let L be the line r (t)= (1+t,1-2r,3+5t) and II be the plane 2x-y+3z– 48=0.
a Find the point of intersection Q of L and II
b. Find an equation of the plane P that passes through the point Q and is orthogonal to L.
Transcribed Image Text:Let L be the line r (t)= (1+t,1-2r,3+5t) and II be the plane 2x-y+3z– 48=0. a Find the point of intersection Q of L and II b. Find an equation of the plane P that passes through the point Q and is orthogonal to L.
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