EJC Vectors I Tutorial Q8

EJC Vectors I Tutorial Q8

Tutorial

\(ABCD\) is a square, and \(M\) and \(N\) are the midpoints of \(BC\) and \(CD\) respectively. Express \(\overrightarrow{AB}\), \(\overrightarrow{AC}\) and \(\overrightarrow{BD}\) in terms of \(\mathbf{p}\) and \(\mathbf{q}\), where \(\overrightarrow{AM}=\mathbf{p}\) and \(\overrightarrow{AN}=\mathbf{q}\).

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Answer:AB = (4/3)p - (2/3)q; AC = (2/3)(p+q); BD = 2(q-p)

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