Calculating Directed Line Segments from Position Vectors

Calculating Directed Line Segments from Position Vectors

Secondary 4

Three points \(O\), \(P\) and \(Q\) are such that \(\vec{OP}=-2\mathbf{p}\) and \(\vec{OQ}=3\mathbf{q}\).

  1. Express \(\vec{PQ}\).
  2. Another point \(R\) is such that \(\vec{QR}=2\mathbf{q}-3\mathbf{p}\), find \(\vec{OR}\) in terms of \(\mathbf{p}\) and \(\mathbf{q}\).

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Answer:(a) PQ = 2p + 3q. (b) OR = 5q - 3p.

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