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 a= D, cos ß = E, cos y = F. The vector ra from the shuttle to satellite B has magnitude G km and direction cosines cos a = H, cos B = 1, cos y = J. What is the distance between the satellites? Giiven :- C= 2 D- 0.777 E- 0.21 F= 0.531 G= 4 H= 0.765 0.444 J- -0.24

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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u A=cosai+cosßj+cosyk
u_A=
|i +C
i +
k
r_A=r_An
i +
j +
k
u_B=cosaž+cosßj+cosyk
i +
k
r_B=r_Bu
r_B=
i +
k
The distance between the satellites is the magnitude of the difference.
|r_A-r_B |=v(1r_Ax-r_B x}^2+(r_Ay-r_By)^2-(r_Az-r_B
z)^2)
Ir_A-r_B
km
Transcribed Image Text:u A=cosai+cosßj+cosyk u_A= |i +C i + k r_A=r_An i + j + k u_B=cosaž+cosßj+cosyk i + k r_B=r_Bu r_B= i + k The distance between the satellites is the magnitude of the difference. |r_A-r_B |=v(1r_Ax-r_B x}^2+(r_Ay-r_By)^2-(r_Az-r_B z)^2) Ir_A-r_B km
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 a= D, cos ß = E, cos y = F. The vector re from the shuttle to
satellite B has magnitude G km and direction cosines cos a = H,
cos B = 1, cos y = J.
What is the distance between the satellites?
Giiven :-
C =
2
D =
0.777
E=
0.21
F =
0.531
G =
4
H=
0.765
0.444
J=
-0.24
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 a= D, cos ß = E, cos y = F. The vector re from the shuttle to satellite B has magnitude G km and direction cosines cos a = H, cos B = 1, cos y = J. What is the distance between the satellites? Giiven :- C = 2 D = 0.777 E= 0.21 F = 0.531 G = 4 H= 0.765 0.444 J= -0.24
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