[10] (1) GIVEN: L: c(t) (0,1,2) FIND: The distance from B to the line, L. d(B, L). B = = (-1+ 2t, 2-t, 3+t)
[10] (1) GIVEN: L: c(t) (0,1,2) FIND: The distance from B to the line, L. d(B, L). B = = (-1+ 2t, 2-t, 3+t)
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
![[10] (1)
GIVEN: L: c(t)
B = (0,1,2)
FIND: The distance from B to the line, L. d(B, L).
=
(-1+ 2t, 2-t, 3+t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F596a093b-68bd-4b89-b9b8-40095b834d5f%2Fc5e79bc0-7f06-48ab-8d29-d0a1051a601d%2Furyjr6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[10] (1)
GIVEN: L: c(t)
B = (0,1,2)
FIND: The distance from B to the line, L. d(B, L).
=
(-1+ 2t, 2-t, 3+t)
![[10] (1)
GIVEN: L: c(t) = (1 + 2t, 22t, 1+t)
B = (1,2,2)
FIND: The distance from B to the line, L. d(B, L).
B
b = AB
b
OA = Ĉ(0)
= (1,2,1)
=
l(B₂L)= |b|| Sin O
ā
and à =(2,-2, 1)
: axb =
la | Sin
Hall
11 à x b ll
Vall
= 2√2
2√1+1+16
√√4+4+1
= (0, -4,1)
L
=
=
=
î
2
O
2√/18
√9
Ĵz
-2 1
4 1
-
(2,-(2), -8)
2(1,-1,-4),
Truth is more
reliable than
memory.
Ooo
GEOMETRY
&
ALGEBRA
O ooo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F596a093b-68bd-4b89-b9b8-40095b834d5f%2Fc5e79bc0-7f06-48ab-8d29-d0a1051a601d%2Flbckrt8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[10] (1)
GIVEN: L: c(t) = (1 + 2t, 22t, 1+t)
B = (1,2,2)
FIND: The distance from B to the line, L. d(B, L).
B
b = AB
b
OA = Ĉ(0)
= (1,2,1)
=
l(B₂L)= |b|| Sin O
ā
and à =(2,-2, 1)
: axb =
la | Sin
Hall
11 à x b ll
Vall
= 2√2
2√1+1+16
√√4+4+1
= (0, -4,1)
L
=
=
=
î
2
O
2√/18
√9
Ĵz
-2 1
4 1
-
(2,-(2), -8)
2(1,-1,-4),
Truth is more
reliable than
memory.
Ooo
GEOMETRY
&
ALGEBRA
O ooo
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