3. Two strong wires AB and CD are at- tached to a flagpole as shown at right. If we assume the base of the flag pole is the origin, then point A is located at (4,0,0), point C is located at (0,3,0), point B is located at (0,0, 5), and point D is located at (0,0, 6), where all measurements are in D B metres. (a) Determine the vectors AB and Cb. Which wire, AB or CD, is longer? (b) A possum climbs the wire AB and reaches the midpoint P of this line segme

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.1: Properties Of A Parallelogram
Problem 44E
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3. Two strong wires AB and CD are at-
tached to a flagpole as shown at right. If
we assume the base of the flag pole is the
origin, then point A is located at (4, 0, 0),
point C is located at (0,3,0), point B is
located at (0,0, 5), and point D is located
at (0,0, 6), where all measurements are in
B
metres.
-> Y
C
(a) Determine the vectors AB and CD. Which wire, AB or CD, is longer?
(b) A possum climbs the wire AB and reaches the midpoint P of this line segment. Deter-
mine the coordinates of P. How far off the ground is the possum?
(c) A marsupial rat starts from C and climbs 2 metres along the wire CD to a point R.
Determine the coordinates of R. Which of the two animals is furthest off the ground?
Transcribed Image Text:3. Two strong wires AB and CD are at- tached to a flagpole as shown at right. If we assume the base of the flag pole is the origin, then point A is located at (4, 0, 0), point C is located at (0,3,0), point B is located at (0,0, 5), and point D is located at (0,0, 6), where all measurements are in B metres. -> Y C (a) Determine the vectors AB and CD. Which wire, AB or CD, is longer? (b) A possum climbs the wire AB and reaches the midpoint P of this line segment. Deter- mine the coordinates of P. How far off the ground is the possum? (c) A marsupial rat starts from C and climbs 2 metres along the wire CD to a point R. Determine the coordinates of R. Which of the two animals is furthest off the ground?
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