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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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TRANSCRIBE THE FOLLOWIMG TEXT IN DIGITAL FORMAT

Here
the
2² = i +j-k
If
angle
Cos 0 =
Here
a d
เสี
121 =
lal
or
d. d =
given vectors
and
c = i + j - k
d' = -i -25 + 3h
CUSO
between
"₁ 0 =
Solution:
=
c and a be
√²+1²+(-1)²
= √(-1) + (-2) + (3)²
d' = -² -2j + 3k.
=-1-2-3
( i + j -k). (-i-25 + 3k)
6
(√3)(√14)
are
(1)(-1) + (1) (-2) + (-1)(3)
-6
=
6
cos" (J22)
42
=
the
0
157. 79°
Since angle between I and I' is 157.79⁰
not orthogenal.
so the vectors I and I'
them
√₁+4+9 = √14.
are
angle
Not orthogonal.
157.79°
Transcribed Image Text:Here the 2² = i +j-k If angle Cos 0 = Here a d เสี 121 = lal or d. d = given vectors and c = i + j - k d' = -i -25 + 3h CUSO between "₁ 0 = Solution: = c and a be √²+1²+(-1)² = √(-1) + (-2) + (3)² d' = -² -2j + 3k. =-1-2-3 ( i + j -k). (-i-25 + 3k) 6 (√3)(√14) are (1)(-1) + (1) (-2) + (-1)(3) -6 = 6 cos" (J22) 42 = the 0 157. 79° Since angle between I and I' is 157.79⁰ not orthogenal. so the vectors I and I' them √₁+4+9 = √14. are angle Not orthogonal. 157.79°
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