Here are the answers to the vector operations in the image:

1. $\mathbf{u} \times \mathbf{v} = \begin{bmatrix} 8 \\ -34 \\ -32 \end{bmatrix}$
2. $-6 \mathbf{u} \times (2 \mathbf{v} - 5 \mathbf{w}) = \begin{bmatrix} -136 \\ 14 \\ 256 \end{bmatrix}$
3. $\mathbf{v} \times (\mathbf{u} \times \mathbf{v}) = \begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}$
4. $\mathbf{u} \cdot (\mathbf{v} \times \mathbf{w}) = 240$
5. $(6 \mathbf{u} \times 8 \mathbf{v}) - 5 \mathbf{w} = \begin{bmatrix} 48 \\ -192 \\ -48 \end{bmatrix}$

Let me know if you need further explanations!