21. Given the equation of two lines;l1: x = 2+ 3t,y = -4+t and z = 1 - t,%3|l2: x = -1+ 2s,y = -4+ sand z = -2 – 2s.Find(a) the point of intersection between the lines l1 and l2,(b) the acute angle between the lines l1 and l2 at the point of intersection.

We have to find the point of intersection and angle.

Answered: 21. Given the equation of two lines;…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 11AEXP

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21. Given the equation of two lines; y=-4+t and z=1-t, l₁: x=2+3t, l₂x = -1 + 2s, y = -4+s and 2=-2-2s. Find (a) the point of intersection between the lines 1 and 2, (b) the acute angle between the lines ₁ and 2 at the point of intersection.