Rugged compact, GoPro, or smartphone: Which should I take on vacation?

My family hikes, we camp, we fish, we snowboard. As a photographer, that leaves me with some choices to make if I want to take pictures or video of our adventures. Vacations, particularly outdoor, active ones, can provide some of the most vivid family memories, but can also be some of the most difficult to photograph. Several different types of device try to fit the bill but which is best for you? Your mirrorless camera may be pretty compact to travel with, but can it film your...