[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
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[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)
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
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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