1. **State the problem:** We have points A, X, and B on a grid. We want to find the column vectors from X to A, then from X to A' and X to B' after enlargement by a scale factor of $\frac{1}{3}$ with center X. 2. **Find the vector from X to A:** - Coordinates of A are approximately $(2,8)$. - Coordinates of X are approximately $(5,4)$. - Vector from X to A is $\overrightarrow{XA} = (2-5, 8-4) = (-3, 4)$. 3. **Find the vector from X to A' after enlargement:** - Scale factor is $\frac{1}{3}$. - Vector $\overrightarrow{XA'} = \frac{1}{3} \times \overrightarrow{XA} = \frac{1}{3} \times (-3,4) = (-1, \frac{4}{3})$. 4. **Find the vector from X to B':** - Coordinates of B are approximately $(11,1)$. - Vector from X to B is $\overrightarrow{XB} = (11-5, 1-4) = (6, -3)$. - After enlargement, $\overrightarrow{XB'} = \frac{1}{3} \times (6, -3) = (2, -1)$. **Final answers:** - $\overrightarrow{XA} = \begin{pmatrix}-3 \\ 4\end{pmatrix}$ - $\overrightarrow{XA'} = \begin{pmatrix}-1 \\ \frac{4}{3}\end{pmatrix}$ - $\overrightarrow{XB'} = \begin{pmatrix}2 \\ -1\end{pmatrix}$