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A vector
Vector
Temperature is a scalar quantity. It has magnitude but not direction.
A vector
scalar, produced by the scalar product of two vector quantities ... Force · Distance
Heat is energy. It and temperature are both scalars.
Imagine 1 kg of water. This has a heat capacity. Now if you have 1000kg of water the heat capacity is obviously greater. The Specific Heat Capacity is a material constant. It specifies a set quantity. For water it is 4.184 kiloJoules per kilogram per Kelvin.
The physical quantity which is used to measure the amount of heat needed to raise the temperature of a given substance is known as heat capacity or thermal capacity. Its S.I. unit is J/K.
A scalar quantity has no direction, you cannot talk of north heat, or left heat, or upward heat - they are meaningless. The fact that heat travels in one general direction does not imply a single definite direction - think of a crowd moving along a street - although the crowd may be moving in one direction, the individuals could be moving in any direction within the crowd.
"Vector energy" is pseudoscientific nonsense. Technically, the energy of motion is kinetic energy. However, if the motions are random (the molecules are all just jiggling around any which way, as opposed to all moving in the same direction) then this is experienced overall as heat (thermal energy).
Vector Energy, mcV, it is not a scalar energy. The total energy is the sum of the scalar potential energy and the vector energy of motion. This combination is called Quaternion energy, E = -e1e2zc/2r + mcV.
The BTU (British Thermal Unit) is a quantity of heat. An air conditioner has the capacity to move a certain amount of heat from the inside of your house to the outside, and that can be measured in BTUs.