III. Consider the line ₁ given by the symmetric equations+1=-y-1 B2and the line 2 given by the vector equation r(t) = (2-1,-3t, -4+4t).1. The lines ₁ and 2 intersect at exactly one point. Find the coordinates of the point ofintersection of ₁ and ₂.2. Find an equation of the plane containing both ₁ and 2.

Answered: Image /qna-images/answer/59d72fb8-dbb0-4217-a8b8-61c574ba5cda.jpg

III. Consider the line ₁ given by the symmetric equations +1=-y-1 B 2 and the line ₂ given by the vector equation r(t) = (2-t-3t, -4+4t). 1. The lines 1 and 2 intersect at exactly one point. Find the coordinates of the point of intersection of ₁ and ₂. 2. Find an equation of the plane containing both ₁ and 2.

III. Consider the line ₁ given by the symmetric equations +1=-y-1 B 2 and the line ₂ given by the vector equation r(t) = (2-t-3t, -4+4t). 1. The lines 1 and 2 intersect at exactly one point. Find the coordinates of the point of intersection of ₁ and ₂. 2. Find an equation of the plane containing both ₁ and 2.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 33EQ

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