Reading four vectors from a grid

Reading four vectors from a grid

Secondary 4

The diagram shows four vectors on a 1 unit by 1 unit grid. Write each vector as a column vector and find its magnitude, leaving any surd in exact form.

Solution:

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Answer:\(\mathbf{p}=\begin{pmatrix}3\\ -4\end{pmatrix}\), 5; \(\mathbf{q}=\begin{pmatrix}0\\ -4\end{pmatrix}\), 4; \(\mathbf{r}=\begin{pmatrix}-5\\ 0\end{pmatrix}\), 5; \(\mathbf{s}=\begin{pmatrix}1\\ -3\end{pmatrix}\), \(\sqrt{10}\)

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