9439 /www/nrich/html/content/id/9439/ 1 2012-09-18T15:34:57 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <br></br> Draw two different rectangles (with different areas), with vertices at whole number co-ordinates, whose diagonal is represented by the vector $\begin{pmatrix}3\\4\end{pmatrix}$<br></br> <br></br> <br></br> <br></br> <br></br> If you liked this problem, <a href="/7453">here is an NRICH task</a> which challenges you to use similar mathematical ideas.</mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <br></br> The most obvious rectangle is that with vertices at $(0,0)$, $(3,0)$, $(3,4)$ and $(0,4)$.<br></br> <br></br> The second has vertices at $(0,0)$, $(4,2)$, $(3,4)$ and $(-1,2)$.<br></br> <br></br> <br></br> <br></br></mdoxml> 2 3 0 0 0 1 0 Vectors - Short Problem Secondary Mapping Document DisplayCabinet Secondary Mapping Document Vectors US