Let Q(3, 1, –6) and let I be the line passing through the point Q and perpendicular to the plane P1 defined by th equation x – y+3z = 2. Let P2 be the plane defined by the equation -2x + 2y – 6z = -7. a) Find the parametric equations of the line l b) Find the intersection of the plane P1 with the line l. c) Determine whether the planes P1 and P2 are parallel.

Let Q(3, 1, –6) and let I be the line passing through the point Q and perpendicular to the plane P1 defined by th equation x – y+3z = 2. Let P2 be the plane defined by the equation -2x + 2y – 6z = -7. a) Find the parametric equations of the line l b) Find the intersection of the plane P1 with the line l. c) Determine whether the planes P1 and P2 are parallel.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 38E

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