Which of the following tools is used to cut objects along a freehand path drawn with it, and to divide objects into component-filled faces?

The tool you're referring to is the Knife tool. This tool is commonly used in graphic design and 3D modeling software. You can use it to make freehand cuts along any drawn path, and it can also be used to divide objects into component-filled faces. Here's a step-by-step guide on how to use it:

1. Select the Knife tool from your tool panel. It's usually represented by an icon that looks like a knife.
2. Click and drag to draw a path along which you want to cut. The path can be any shape you want.
3. Release the mouse button to complete the cut. The object will now be divided along the path you drew.
4. If you want to divide the object into component-filled faces, you can do so by selecting the faces and using the Knife tool to cut them apart.