and direction cosines of of the p vector rA from the shuttle to s cosines cos a D, cos ß = E satellite B has magnitude

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Astronauts on the space shuttle use radar to determine the magnitudes
and direction cosines of the position vectors of two satellites A and B. The
vector rA from the shuttle to satellite A has magnitude C km, and direction
cosines cos α= D, cos ß = E, cos y = F. The vector rs from the shuttle to
satellite B has magnitude G km and direction cosines cos α = H,
cos B = I, cos y = J.
What is the distance between the satellites?
Giiven :-
C =
D=
E=
F=
G=
H =
11
J=
UA
UA
8
0.573
0.006
0.327
10
0.561
0.24
-0.24
F
TA=TAUA
G
= cos ai + cos ßj + cos yk
i +
B
ayo
j +
k
TB
Transcribed Image Text:Astronauts on the space shuttle use radar to determine the magnitudes and direction cosines of the position vectors of two satellites A and B. The vector rA from the shuttle to satellite A has magnitude C km, and direction cosines cos α= D, cos ß = E, cos y = F. The vector rs from the shuttle to satellite B has magnitude G km and direction cosines cos α = H, cos B = I, cos y = J. What is the distance between the satellites? Giiven :- C = D= E= F= G= H = 11 J= UA UA 8 0.573 0.006 0.327 10 0.561 0.24 -0.24 F TA=TAUA G = cos ai + cos ßj + cos yk i + B ayo j + k TB
ΤΑ
UB
UB = cos ai + cos pj + cos yk
YB = TRUB
i +
YB
i +
j +
i +
j +
j +
k
k
km
k
The distance between the satellites is the magnitude of the difference.
2
ITA-TB| = (¹₁x − TBX)² + (¹Ay − By)² + (˜Az − TBz)²
-
-
ITA - TBI
Transcribed Image Text:ΤΑ UB UB = cos ai + cos pj + cos yk YB = TRUB i + YB i + j + i + j + j + k k km k The distance between the satellites is the magnitude of the difference. 2 ITA-TB| = (¹₁x − TBX)² + (¹Ay − By)² + (˜Az − TBz)² - - ITA - TBI
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