Need help with question 9, both parts. Pl, J+4k, k and i+j respectively,WU POJIIVE 1eal numbers. Find vector equations for the lines AB and CD.where P unugaven that the lines AB and CD intersect at a point R, express q in terms of p, andshow that the two lines cannot be perpendicular. Show also thatAR CR(G) Given that AB and CD are perpendicular, express q in terms of p, and show that theangle between AC and BD is equal to the angle between AD and BC.АВCDSRJC JC2CT2 9740/2013/01/Q12 (modified)The equations of the lines 11 and 12 are1r = 1 2and r = u 3 respectively, where 1, ueR.6.The point P(18, 27, 54) lies on the line 12.(i) Find the position vector of the foot of perpendicular from P to the line I,.[4](ii) Given that the line 1, is the reflection of the line l about a third line, 13, find one[3]possible vector equation of the line 13.1OF = -8r =tor r =t 238–32Section B (Assignment Questions)

Answered: Image /qna-images/answer/6abb2590-f3f4-43cd-8cbe-a8ae68150f6d.jpg

J4 YR , k and i+j respectively, Ieal humbers. Find vector equations for the lines AB and CD. Whelt P Gven that the lines AB and CD intersect at a point R, express g in terms of p, and chow that the two lines cannot be perpendicular. Show also that AR CR Ga Given that AB and CD are perpendicular, express q in terms of p, and show that the %3D АВ CD angle between AC and BD is equal to the angle between AD and BC. SRJC JC2CT2 9740/2013/01/Q12 (modified) The equations of the lines 11 and 1, are 9 1 r = 1 2 and r u 3 respectively, where 2, ueR. 6. The point P(18, 27, 54) lies on the line 12. [4] (i) Find the position vector of the foot of perpendicular from P to the line I. (ii) Given that the line 1, is the reflection of the line l, about a third line, 13, find one [3] possible vector equation of the line l3. -4 1 (13 OF = -8 r =t or r =t 23 8 -32) 4 Section B (Assignment Questions)

J4 YR , k and i+j respectively, Ieal humbers. Find vector equations for the lines AB and CD. Whelt P Gven that the lines AB and CD intersect at a point R, express g in terms of p, and chow that the two lines cannot be perpendicular. Show also that AR CR Ga Given that AB and CD are perpendicular, express q in terms of p, and show that the %3D АВ CD angle between AC and BD is equal to the angle between AD and BC. SRJC JC2CT2 9740/2013/01/Q12 (modified) The equations of the lines 11 and 1, are 9 1 r = 1 2 and r u 3 respectively, where 2, ueR. 6. The point P(18, 27, 54) lies on the line 12. [4] (i) Find the position vector of the foot of perpendicular from P to the line I. (ii) Given that the line 1, is the reflection of the line l, about a third line, 13, find one [3] possible vector equation of the line l3. -4 1 (13 OF = -8 r =t or r =t 23 8 -32) 4 Section B (Assignment Questions)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 16EQ

See similar textbooks