Which of the following tools would be least effective for cutting?

The fire hook is least effective for cutting because it is primarily designed for prying, pulling, and breaking apart materials rather than making cuts. Fire hooks are typically used for tasks such as pulling down ceilings or accessing roofs during a fire, rather than cutting through materials.

In contrast, tools like the chain saw and hand saw are specifically designed for cutting through wood and other materials, making them more effective for such tasks. The pick-head axe can also be used for cutting as well as for prying, depending on the situation. Therefore, the fire hook stands out as the tool that is least suited for cutting purposes.