Consider the plane π : x − 2y + 3z − 1 = 0 and the line l : x = (1 − y)/2 = z + 1.      1.      Find the point of intersection of π and l.       2.      Find the point-normal equation of the plane perpendicular to π and containing l.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 27E
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Consider the plane π : x − 2y + 3z − 1 = 0 and the line l : x = (1 − y)/2 = z + 1.
     1.      Find the point of intersection of π and l. 
     2.      Find the point-normal equation of the plane perpendicular to π and containing l.

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Please elaborate the cross multiplication part on Item 2. How did this arrive with a/4 =b/2 = c/0?

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