In Diagram 1, E is a point on the line BD such that DE : DB = 1 : 4. The line AB is parallel to the line DC and 3DC = 4AB. It is given that AB = 12a and AD = 4b. 4b A 12a B Diagram 1 a) Express each of the following vectors in terms of a and b. i) DB ii) AE b) Prove that BC is parallel to AE. 5.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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5.
In Diagram 1, E is a point on the line BD such that DE : DB = 1 : 4. The line AB is
parallel to the line DC and 3DC = 4AB. It is given that AB = 12a and AD = 4b.
D
E
4b.
A
12a
Diagram 1
a) Express each of the following vectors in terms of a and b.
i) DB
ii) AE
b) Prove that BC is parallel to AE.
Transcribed Image Text:5. In Diagram 1, E is a point on the line BD such that DE : DB = 1 : 4. The line AB is parallel to the line DC and 3DC = 4AB. It is given that AB = 12a and AD = 4b. D E 4b. A 12a Diagram 1 a) Express each of the following vectors in terms of a and b. i) DB ii) AE b) Prove that BC is parallel to AE.
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