... A... and ...B... of heat energy require some material as a transport medium.
Hear, A and B refer to
 

Conduction and convection require some material as a transport medium. These modes of heat transfer cannot operate between bodies separated by distance in vacuum. But the Earth does receive heat from the Sun across a huge distance and we quickly feel the warmth of the fire near by even though air conducts poorly and before convection can set in. We receive heat from Sun by radiation. Radiation can occur in vacuum.