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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 49E
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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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