Grab the plane (click on any of its edges) and offset it to the desired location. Click to place, then click Finalize.
Note: After the initial offset, before you click Finalize, you can click anywhere on the plane surface to adjust the offset further.
Right-click the edge of a Cutting Plane. Choose Rotate Cutting Plane from the context menu.
Right-click the edge of a Cutting Plane. Choose Reverse Cutting Plane Direction from the context menu.