Let L₁ be the line passing through the point P₁=(-8, 0, 11) with direction vector ₁-[-3, 2, 3]T, and let L₂ be the line passing through the point P₂=(-18, -28, 13) with direction vector d2=[3,0, 1]¹. Find the shortest distance d between these two lines, and find a point Q₁ on L₁ and a point Q₂ on L₂ so that d(Q1,Q2)=d. Use the square root symbol 'V' where needed to give an exact value for your answer. d = 0 Q1 = (0, 0, 0) Q2 = (0, 0, 0)

Let L₁ be the line passing through the point P₁=(-8, 0, 11) with direction vector ₁-[-3, 2, 3]T, and let L₂ be the line passing through the point P₂=(-18, -28, 13) with direction vector d2=[3,0, 1]¹. Find the shortest distance d between these two lines, and find a point Q₁ on L₁ and a point Q₂ on L₂ so that d(Q1,Q2)=d. Use the square root symbol 'V' where needed to give an exact value for your answer. d = 0 Q1 = (0, 0, 0) Q2 = (0, 0, 0)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 18EQ

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