OABC is a parallelogram where O is the origin. The position vectors of A and B are 4i + 6j and 6i + 8j respectively. D is the midpoint of CB and E is the midpoint of AB. OD meets CE at F. (a) State the position vectors of C, D and E. (b) By taking Of = mOD and CF = nCE, find the values of m and n and the ratio OF:FD.
OABC is a parallelogram where O is the origin. The position vectors of A and B are 4i + 6j and 6i + 8j respectively. D is the midpoint of CB and E is the midpoint of AB. OD meets CE at F. (a) State the position vectors of C, D and E. (b) By taking Of = mOD and CF = nCE, find the values of m and n and the ratio OF:FD.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 31E
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