In a triangle with points O, X, and Y, let x = OX and y = OY. The ratio of XN : NY = 1 : 1, meaning that point N is the midpoint of segment XY.The ratio of OM : MN = 3 : 2, meaning that point M divides segment ON in a 3:2 ratio.The ratio of OP : PY = s : t, where s and t are positive integers.Express the vector NY, XM and NP in terms of x and y.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 4DE
Question

In a triangle with points O, X, and Y, let x = OX and y = OY.

The ratio of XN : NY = 1 : 1, meaning that point N is the midpoint of segment XY.
The ratio of OM : MN = 3 : 2, meaning that point M divides segment ON in a 3:2 ratio.
The ratio of OP : PY = s : t, where s and t are positive integers.
Express the vector NY, XM and NP in terms of x and y.

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