Simply start the Explode Command, or edit an existing Exploded View and begin a new Explode Step.
The triad always mimics the triad orientation of the part or assembly.
To move and re-orient the triad, simply hold ALT and pick and drag the triad using the blue sphere where the X,Y and Z axis meet... then drag it over other geometry. It will snap to Linear edges, Plainer faces and will align to the Axis of Holes or Cylindrical features. Then just drag the triad along the new direction and position your part.
ANYWHERE there is a triad in SolidWorks, consider this tip valid... Move/Copy Bodies... Move with Triad... etc.