What type of energy systems are used to heat domestic water and provide space heating through the use of collectors?

The correct choice is solar energy. Solar energy systems utilize solar collectors to capture sunlight and convert it into heat. This heat is then used for heating domestic water and providing space heating within a building. Solar collectors can take various forms, including flat-plate collectors and evacuated tube collectors, which are designed to maximize sunlight absorption.

In contrast, wind energy primarily harnesses the kinetic energy of wind to generate electricity and is not directly associated with heating water or providing space heating. Geothermal energy is derived from the Earth's internal heat and can be used for heating, but it relies on different systems such as geothermal heat pumps, rather than solar collectors. Hydraulic energy concerns the use of water flow to produce energy, often through turbines, and likewise does not involve the use of collectors for heating applications. Thus, solar energy is the most suitable answer for systems designed explicitly for heating domestic water and space heating using collectors.