Problem 1. Let L be the line (t + 1, 2t, 3t – 1), t e R, and A the point (1, 1, 1). Let P be the plane containing L and A. (a) Write down a normal vector to P. (b) Write down an algebraic and a parametric equation for P.

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 33E
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Problem 1. Let L be the line (t + 1, 2t, 3t – 1), t e R, and A the point (1, 1, 1). Let P be
the plane containing L and A.
(a) Write down a normal vector to P.
(b) Write down an algebraic and a parametric equation for P.
Transcribed Image Text:Problem 1. Let L be the line (t + 1, 2t, 3t – 1), t e R, and A the point (1, 1, 1). Let P be the plane containing L and A. (a) Write down a normal vector to P. (b) Write down an algebraic and a parametric equation for P.
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