69. For the vectors in the earlier figure, find (a) (A × F ). D, 6) (A × F )·(B x B ), and (c) ( A F)(D x B).

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Chapter1: Introduction And Vectors
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Problem 44P: Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units,...
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#69, using the figure above #53.

69.
For the vectors in the earlier figure, find (a)
(A x F ). D, (b) (Ả × F )·( Dx B), and
(c) ( A · F)(D x B).
70. (a) If A x F = Bx F
À = B ? (b) If A F = B F,
FA =
can we conclude
%3D
can
we
%3D
%3D
A = B ? (c) If
BF, can we
%3D
conclude A
à = B ?Why or why not?
nmi = 1852 m.
%3D
76. An air traffic controller notices two signals from two
planes on the radar monitor. One plane is at altitude 800
m and in a 19.2-km horizontal distance to the tower in a
direction 25° south of west. The second plane is at altitude
1100 m and its horizontal distance is 17.6 km and 20°
south of west. What is the distance between these planes?
Ā + B = Č
77.
Show
that
when
then
C² = A² + B² +2AB cos p ,
where p is the angle
%3D
6.
between vectors A and B
Transcribed Image Text:69. For the vectors in the earlier figure, find (a) (A x F ). D, (b) (Ả × F )·( Dx B), and (c) ( A · F)(D x B). 70. (a) If A x F = Bx F À = B ? (b) If A F = B F, FA = can we conclude %3D can we %3D %3D A = B ? (c) If BF, can we %3D conclude A Ã = B ?Why or why not? nmi = 1852 m. %3D 76. An air traffic controller notices two signals from two planes on the radar monitor. One plane is at altitude 800 m and in a 19.2-km horizontal distance to the tower in a direction 25° south of west. The second plane is at altitude 1100 m and its horizontal distance is 17.6 km and 20° south of west. What is the distance between these planes? Ā + B = Č 77. Show that when then C² = A² + B² +2AB cos p , where p is the angle %3D 6. between vectors A and B
10
C = 12.0
:-
F= 20.0
D= 20.0
B = 5.0
09
A
A = 10.0
B.
53°
Figure 2.33
3. Given the vectors in the preceding figure, find vector
that solves equations (a) D + R = F and (b)
Č - 2 3 +5 R = 3 F
horizontal to the right.
Assume the +x-axis is
Transcribed Image Text:10 C = 12.0 :- F= 20.0 D= 20.0 B = 5.0 09 A A = 10.0 B. 53° Figure 2.33 3. Given the vectors in the preceding figure, find vector that solves equations (a) D + R = F and (b) Č - 2 3 +5 R = 3 F horizontal to the right. Assume the +x-axis is
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