Parametric equations including t ∈ (−∞, ∞) and s ∈ (−∞, ∞) x = a1s + b1, y = a2s + b2, z = a3s + b3 and x = c1t + d1, y = c2t + d2, z = c3t + d Show that the following equality is satisfied if the lines given by , intersect or are parallel to each other a1 c1 b1 − d1 a2 c2 b2 − d2 a3 c3 b3 − d3 = 0.
Parametric equations including t ∈ (−∞, ∞) and s ∈ (−∞, ∞) x = a1s + b1, y = a2s + b2, z = a3s + b3 and x = c1t + d1, y = c2t + d2, z = c3t + d Show that the following equality is satisfied if the lines given by , intersect or are parallel to each other a1 c1 b1 − d1 a2 c2 b2 − d2 a3 c3 b3 − d3 = 0.
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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Parametric equations including t ∈ (−∞, ∞) and s ∈ (−∞, ∞)
x = a1s + b1, y = a2s + b2, z = a3s + b3
and
x = c1t + d1, y = c2t + d2, z = c3t + d
Show that the following equality is satisfied if the lines given by , intersect or are parallel to each other a1 c1 b1 − d1
a2 c2 b2 − d2
a3 c3 b3 − d3
= 0.
![zayın Geometrisi ve İntegrallenebilme][10+10p]
1) tE(-00, 00) ve s E (-00, 00) olmak üzere parametrik denklemleri
x = a1s + b1, y = a2s + b2, z = a3s + b3
ve
x = cit + d1, y = c2t + d2, z = c3t + dz
ile verilen doğrular kesişiyorsa ya da birbirlerine paralellerse aşağıdaki eşitliğin sağlandığını gös-
%3D
teriniz
Ci bị – d
C2 b2 - d2 = 0.
a3
a1
a2
C3 b3 – dz
2) R = [0, 1] x [0, 1] C R² olsun. f : R →R fonksiyonu
J1 eğer x = y ise
f(r u)
18:45
Aramak için buraya yazın
D 21°C
底 国
18.06.2021
Prisc
nsert
Desee
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Transcribed Image Text:zayın Geometrisi ve İntegrallenebilme][10+10p]
1) tE(-00, 00) ve s E (-00, 00) olmak üzere parametrik denklemleri
x = a1s + b1, y = a2s + b2, z = a3s + b3
ve
x = cit + d1, y = c2t + d2, z = c3t + dz
ile verilen doğrular kesişiyorsa ya da birbirlerine paralellerse aşağıdaki eşitliğin sağlandığını gös-
%3D
teriniz
Ci bị – d
C2 b2 - d2 = 0.
a3
a1
a2
C3 b3 – dz
2) R = [0, 1] x [0, 1] C R² olsun. f : R →R fonksiyonu
J1 eğer x = y ise
f(r u)
18:45
Aramak için buraya yazın
D 21°C
底 国
18.06.2021
Prisc
nsert
Desee
{ 8 [ 9 1
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