6. (a) Use vector methods to prove the diagonals of parallelogram OABC bisect each other. OABC is a rhombus with the diagonals meeting at P and M is the midpoint of PB. Given that AM produced meets BC at right (b) -1 angles, show that ZAOC = cos (3). a С U² C

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Hi, I need help with question 6. Thanks
-
9
X, v
EEA
DA E
F
Vectors To...
Vector Que...
Vectors Re...
Curve Sket...
Curve Sket...
Heading 2
OneNote
To Do
Important
Read-only Content Library is read-only. Copy content from here to another location to edit it.
Dictate
6. (a) Use vector methods to prove the diagonals
of parallelogram OABC bisect each other.
(b) OABC is a rhombus with the diagonals
meeting at P and M is the midpoint of PB.
Given that AM produced meets BC at right
-1
angles, show that ZAOC = cos ¹ (²³).
7. An object of mass m kg on a smooth inclined
plane is acted on by three forces N, T and W
as shown in the diagram. The force Tacts at
an angle a up from the slope of the plane.
The object experiences an acceleration a.
(a) Find INI in terms of |W.
(b) Find lal in terms of IT and IWI.
a
N
0
No Backups for 26 Days
Check that "NAS.local" is available or
select a new disk.
ç
W
C
Transcribed Image Text:- 9 X, v EEA DA E F Vectors To... Vector Que... Vectors Re... Curve Sket... Curve Sket... Heading 2 OneNote To Do Important Read-only Content Library is read-only. Copy content from here to another location to edit it. Dictate 6. (a) Use vector methods to prove the diagonals of parallelogram OABC bisect each other. (b) OABC is a rhombus with the diagonals meeting at P and M is the midpoint of PB. Given that AM produced meets BC at right -1 angles, show that ZAOC = cos ¹ (²³). 7. An object of mass m kg on a smooth inclined plane is acted on by three forces N, T and W as shown in the diagram. The force Tacts at an angle a up from the slope of the plane. The object experiences an acceleration a. (a) Find INI in terms of |W. (b) Find lal in terms of IT and IWI. a N 0 No Backups for 26 Days Check that "NAS.local" is available or select a new disk. ç W C
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