The positions of two villages P and Q from a town O are represented by vectors OP and OQ where OP-p and Q-q as shown in the diagram below. a) Express QP in terms of p and/ q Answer). b) A petrol station, X, is halfway between O and P. Express OX in terms of p and/ q. Answer). c) Another petrol station, Y, is situated along QP such that the ratio of QY:YP-2:3. Express OY in terms of p and/q. .[1] [1] Answer) [2]

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
The positions of two villages P and Q from a town O are represented by vectors OP
and OQ where OP-p and Q-q as shown in the diagram below.
a) Express QP in terms of p and/
q
Answer).
b) A petrol station, X, is halfway between O and P.
Express OX in terms of p and/ q.
Answer).
c) Another petrol station, Y, is situated along QP such that the ratio of
QY:YP-2:3. Express OY in terms of p and/q.
.[1]
[1]
Answer)
[2]
Transcribed Image Text:The positions of two villages P and Q from a town O are represented by vectors OP and OQ where OP-p and Q-q as shown in the diagram below. a) Express QP in terms of p and/ q Answer). b) A petrol station, X, is halfway between O and P. Express OX in terms of p and/ q. Answer). c) Another petrol station, Y, is situated along QP such that the ratio of QY:YP-2:3. Express OY in terms of p and/q. .[1] [1] Answer) [2]
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