Three grid vectors in terms of a and b
Three grid vectors in terms of a and b
Secondary 4
The diagram shows the vectors \(\mathbf{a}\) and \(\mathbf{b}\) and three other vectors on a 1 unit by 1 unit grid. Express \(\overrightarrow{CD}\), \(\overrightarrow{EF}\) and \(\overrightarrow{GH}\) in terms of \(\mathbf{a}\) and \(\mathbf{b}\).
Solution:
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Answer:\(\overrightarrow{CD}=2\mathbf{a}+\mathbf{b}\), \(\overrightarrow{EF}=-\mathbf{a}+2\mathbf{b}\), \(\overrightarrow{GH}=3\mathbf{a}\)
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