Negative coefficients on a grid
Negative coefficients on a grid
Secondary 4
The diagram shows the vectors \(\mathbf{u}\), \(\mathbf{v}\), \(\overrightarrow{PQ}\) and \(\overrightarrow{RS}\) on a 1 unit by 1 unit grid. Express \(\overrightarrow{PQ}\) and \(\overrightarrow{RS}\) in terms of \(\mathbf{u}\) and \(\mathbf{v}\).
Solution:
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Answer:\(\overrightarrow{PQ}=3\mathbf{u}-2\mathbf{v}\), \(\overrightarrow{RS}=-\mathbf{u}+2\mathbf{v}\)
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