(a) Let ri(t) = [2, 1, – 1] + t[1, 1, 1] be the equation of a line L1 in R³. De- termine the equation of a line L2 that is parallel to L1 and contains the point A(1, 2, 3). (b) Find the vector equation for the line L3 through B(1, –3, 1) that is par- allel to both of the planes P1 : x + y + 2z = 1 and P2 : x – y + 3z = 2.

(a) Let ri(t) = [2, 1, – 1] + t[1, 1, 1] be the equation of a line L1 in R³. De- termine the equation of a line L2 that is parallel to L1 and contains the point A(1, 2, 3). (b) Find the vector equation for the line L3 through B(1, –3, 1) that is par- allel to both of the planes P1 : x + y + 2z = 1 and P2 : x – y + 3z = 2.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 29E

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