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Introduction to Origin-Based Position Vectors

Introduction to Origin-Based Position Vectors

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Three points \(O\), \(P\) and \(Q\) are such that \(\vec{OP}=3\mathbf{p}\) and \(\vec{OQ}=6\mathbf{q}\).

  1. Express \(\vec{PQ}\).
  2. Another point \(R\) is such that \(\vec{QR}=2\mathbf{q}-\mathbf{p}\), find \(\vec{OR}\) in terms of \(\mathbf{p}\) and \(\mathbf{q}\).

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Answer:(a) PQ = 6q - 3p. (b) OR = 8q - p.

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