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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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 unu
gaven that the lines AB and CD intersect at a point R, express q in terms of p, and
show that the two lines cannot be perpendicular. Show also that
AR CR
(G) Given that AB and CD are perpendicular, express q in terms of p, and show that the
angle between AC and BD is equal to the angle between AD and BC.
АВ
CD
SRJC JC2CT2 9740/2013/01/Q12 (modified)
The equations of the lines 11 and 12 are
1
r = 1 2
and 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.
1
OF = -8
r =t
or r =t 23
8
–32
Section B (Assignment Questions)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b6f3660-8471-42f8-830e-b4bf2c95ade9%2F6abb2590-f3f4-43cd-8cbe-a8ae68150f6d%2Ffp91hlg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Pl, J+4k, k and i+j respectively,
WU POJIIVE 1eal numbers. Find vector equations for the lines AB and CD.
where P unu
gaven that the lines AB and CD intersect at a point R, express q in terms of p, and
show that the two lines cannot be perpendicular. Show also that
AR CR
(G) Given that AB and CD are perpendicular, express q in terms of p, and show that the
angle between AC and BD is equal to the angle between AD and BC.
АВ
CD
SRJC JC2CT2 9740/2013/01/Q12 (modified)
The equations of the lines 11 and 12 are
1
r = 1 2
and 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.
1
OF = -8
r =t
or r =t 23
8
–32
Section B (Assignment Questions)
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