Keyboard and mouse combinations to get the camera where you want it

the Camera command (keyboard shortcut F6) will let you Show/Hide the camera in your viewports

Abbreviations:

RMB = Right Mouse Button
MMW = Middle Mouse Wheel

Moving the Camera:

Tumble around target

RMB or arrow keys

To “break” a orthogonal view (such as your standard Top, Front, Right, etc.) and enter a tumble, use Ctrl + Shift + RMB

Pan Moving Camera and Target

Shift + RMB

In orthogonal views, RMB alone will do this

Pan with Camera Remaining Stationary, Target Moving

Ctrl + Alt + RMB

Tilt (Dutch)(Roll?) Camera - Revolve camera about axis

Shift + Alt + RMB

In V4, doing this with the cursor at the edges of the viewport will constrain the rotation in 5 degree increments

Zooming

Zoom - Keeping target in the same plane

Note: The target will not stay in the exact location, it will stay in the same plane perpendicular to the camera, however it's position on that plane will change depending where the cursor is located during the zoom

MMW

CTRL + RMB

If you are using this method in a perspective viewport, you will find that as you zoom further and further in, you will eventually start to run into your target, which gives the appearance of not being able to zoom in any further. To correct this use Place Target

Zoom - Moving the target with camera

Rhino V3

Shift + MMW

Rhino V4

Alt + MMW
Alt + RMB

Lens Zoom - Camera and target stationary, lens changed to zoom Alt + Shift + Ctrl + RMB