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C Q18 anion mun SO TO COO D 0% sail od bas sya syd bezolons non R In the diagram above OC = = c and OĎ=d. The points P and Q lie on OC and OD produced respectively, so that OC : CP= 1:2 and OD: DQ = 2:1. The line CD is extended to R so t CD= DR. (i) Find, in terms of c and/or d, the vectors OP, OO and OR. (ii) Show that the points P, Q and R are collinear and find the ratio PQ: QR.

C Q18 anion mun SO TO COO D 0% sail od bas sya syd bezolons non R In the diagram above OC = = c and OĎ=d. The points P and Q lie on OC and OD produced respectively, so that OC : CP= 1:2 and OD: DQ = 2:1. The line CD is extended to R so t CD= DR. (i) Find, in terms of c and/or d, the vectors OP, OO and OR. (ii) Show that the points P, Q and R are collinear and find the ratio PQ: QR.

Elementary Geometry For College Students, 7e
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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P aT Amiog sr is aixad gain ovu s to h 09 sil or bas olons no R In the diagram above OC = c and OD= d. The points P and Q lie on OC and OD produced respectively, so that OC : CP =1:2 and OD : DQ = 2:1. The line CD is extended to R so the CD = DR. (1) Find, in terms of c and/or d, the vectors OP, OÓ and OR. (i) Show that the points P, Q and R are collinear and find the ratio PQ: QR.
Transcribed Image Text:P aT Amiog sr is aixad gain ovu s to h 09 sil or bas olons no R In the diagram above OC = c and OD= d. The points P and Q lie on OC and OD produced respectively, so that OC : CP =1:2 and OD : DQ = 2:1. The line CD is extended to R so the CD = DR. (1) Find, in terms of c and/or d, the vectors OP, OÓ and OR. (i) Show that the points P, Q and R are collinear and find the ratio PQ: QR.
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