Let L₁ be the line passing through the point P₁=(5, 2, 3) with direction vector d=[1, 3, 1]', and let L₂ be the line passing through the point P2=(4, 4, 4) with the same direction vector. 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=(5, 2, 3) with direction vector d=[1, 3, 1]', and let L₂ be the line passing through the point P2=(4, 4, 4) with the same direction vector. 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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