Suppose the straight lines L₁ and L₂ have respective vector equations 4 5 9 -5 (99)-0) -3 +t = - ()+(-) 8 -5 3 -2 2 where s and t are scalar parameters. 71 = a) Given that L₁ and L2 intersect at some point P, find its coordinates. P =( ) cos and 72 b) Find the exact value of the cosine of the acute angle , between L₁ and L2. 2 = c) Given points A(9,-4, 4) and B(4, 3, 0), compute the distances AP and |BP|. |AP| |BP| =

Suppose the straight lines L₁ and L₂ have respective vector equations 4 5 9 -5 (99)-0) -3 +t = - ()+(-) 8 -5 3 -2 2 where s and t are scalar parameters. 71 = a) Given that L₁ and L2 intersect at some point P, find its coordinates. P =( ) cos and 72 b) Find the exact value of the cosine of the acute angle , between L₁ and L2. 2 = c) Given points A(9,-4, 4) and B(4, 3, 0), compute the distances AP and |BP|. |AP| |BP| =

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 33EQ

See similar textbooks