Year 12 Specialist (Unit 3 & 4)
Vectors in two and three dimensions
Geometric proofs
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Questions
Question 1
196039
Relative to the origin \(O\), the points \(A\) and \(B\) (in three dimensions) have position vectors \(\mathbf{a}\) and \(\mathbf{b}\). The point \(M\) is the midpoint of \(AB\). Express \(\overrightarrow{OM}\) in terms of \(\mathbf{a}\) and \(\mathbf{b}\).
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