\( \begin{aligned} \mathbf{u} & =[0,5] \\ \mathbf{v} & =[2,4] \\ \mathbf{w} & =[-9,-1] \\ 5 \mathbf{u}+\mathbf{v}-\mathbf{w} & =[\text { Ex: } 6, \square\end{aligned} \)

Let's first calculate \( 5 \mathbf{u} + \mathbf{v} - \mathbf{w} \). Start with \( 5 \mathbf{u} \): \[ 5 \mathbf{u} = 5 \times [0, 5] = [0, 25] \] Next, add \( \mathbf{v} \): \[ 5 \mathbf{u} + \mathbf{v} = [0, 25] + [2, 4] = [0 + 2, 25 + 4] = [2, 29] \] Now, subtract \( \mathbf{w} \): \[ 5 \mathbf{u} + \mathbf{v} - \mathbf{w} = [2, 29] - [-9, -1] = [2 - (-9), 29 - (-1)] = [2 + 9, 29 + 1] = [11, 30] \] Thus, \( 5 \mathbf{u} + \mathbf{v} - \mathbf{w} = [11, 30] \). Now, the final answer fills in the blank: \[ 5 \mathbf{u} + \mathbf{v} - \mathbf{w} = [11, 30] \ \text{Ex: } 6, \square \text{ results in } (11, 30). \]