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To be able to: Use vectors to solve generalised geometric problemsVectors are often used to...

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Geometry

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To be able to: Use vectors to solve generalised geometric problemsVectors are often used to prove general properties about geometric arrangements. In the following examples, no coordinates or specific vectors will be given. We often make use of the following fact:In n dimensions, each vector is a unique linear combination of a non-parallel vectors.Example: OABC is a parallelogram. The vectors ar and e are the position vectors of points 4 and C respectively. Prove that the diagonals of OABC bisect each other.Method 1 Let point P be the intersection of the diagonals AC and OBMethod 2 Let points P and Q be the mid-points of AC and OB respectively.

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