Recall that the distance d(5,) from B= (xo, Yo) is given by the formula: d(8, ) = 1C₁-C₂1 n Prove that, in R2, the distance between parallel lines with equations n-x=c₁ and n-x=C₂ is given by. Choose B = (x+y) on ₁; since , and f, are parallel, the distance between them is (8,8). Then since 8 lies on ₁, we have the following. (Enter your answers in terms of a, b, x₁, and yo
Recall that the distance d(5,) from B= (xo, Yo) is given by the formula: d(8, ) = 1C₁-C₂1 n Prove that, in R2, the distance between parallel lines with equations n-x=c₁ and n-x=C₂ is given by. Choose B = (x+y) on ₁; since , and f, are parallel, the distance between them is (8,8). Then since 8 lies on ₁, we have the following. (Enter your answers in terms of a, b, x₁, and yo
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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![Recall that the distance d(5, ) from B = (xor Yo) is given by the formula: d(8, ) =
Prove that, in 2, the distance between parallel lines with equations n - x = ₁ and n - x = C₂ is given by
n.b=
Choose B = (Xo Yo) on ₁; since , and f, are parallel, the distance between them is o(8,5). Then since a lies on ₁, we have the following. (Enter your answers in terms of a, b, xo, and yo)
..]
a
h
= ax +
=
%
bya
||n||
n
= 1
Choose A on ₂, so that na = c₂. Set v = b - a. Then using the distance formula above, the distance is the following. (Enter your answers in terms of a, b, and n. If needed, use BOLD vector form on calcPad
Vector menu.)
0(₁₁8₂) = 0(B₁ (₂)
b-
n.b-n
Xo
10₂ - 0₂1
||n||
·(
laxo +byo - cl
Va² + b²
||n||
||n||
19₂ - 0₂1
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed13107b-1299-404a-8b1e-346b342ec76c%2Fa58f06d7-0794-4377-9470-f9da6fd9bb4b%2Fnufbkbk_processed.png&w=3840&q=75)
Transcribed Image Text:Recall that the distance d(5, ) from B = (xor Yo) is given by the formula: d(8, ) =
Prove that, in 2, the distance between parallel lines with equations n - x = ₁ and n - x = C₂ is given by
n.b=
Choose B = (Xo Yo) on ₁; since , and f, are parallel, the distance between them is o(8,5). Then since a lies on ₁, we have the following. (Enter your answers in terms of a, b, xo, and yo)
..]
a
h
= ax +
=
%
bya
||n||
n
= 1
Choose A on ₂, so that na = c₂. Set v = b - a. Then using the distance formula above, the distance is the following. (Enter your answers in terms of a, b, and n. If needed, use BOLD vector form on calcPad
Vector menu.)
0(₁₁8₂) = 0(B₁ (₂)
b-
n.b-n
Xo
10₂ - 0₂1
||n||
·(
laxo +byo - cl
Va² + b²
||n||
||n||
19₂ - 0₂1
X
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