Let , and , where O, A and C are noncollinear points. Let denote the area of the quadrilateral OABC, and denote the area of the parallelogram with OA and OC as adjacent sides. Then is equal to
(A)
(B)Correct
(C)
(D)none of these
Answer: (B)
Solution
*(Figure: O at the origin, A at , C at , B at ; diagonal OB splits OABC into triangles OAB and OBC.)*
. The diagonal OB divides the quadrilateral into triangles OAB and OBC (B lies inside the angle AOC because both coefficients 10 and 2 are
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