vector
Power can be scalar or vector, e.g d/dt torque = vector power; d/dt mcV = mcA a vector power.
A scalar times a vector is a vector.
vector, power= work/time and work= force * distance, force is vector.
vector
Yes, you can add a scalar to a vector by adding the scalar value to each component of the vector.
Power momentum is a scalar quantity, as it is a measure of the rate at which work is done or energy is transferred. It does not have a direction associated with it, unlike vector quantities such as velocity or force.
No, power is not a vector quantity. It is a scalar quantity that represents the rate at which work is done or energy is transferred.
Scalar
When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.
Power is the time derivative of energy, E. Energy can be scalar or vector. Thus power can be scalar or vector. Energy is a quaternion and consists of a scalar or real part Er and a vector part Ev. Energy E=Er + Ev, for example E= FR = -F.R + FxR = -FRCos(x) + FRsin(x). The real part is a scalar called "Energy" and the vector part is called "Torque" but has the same units Joules. Energy is defined by the units. P=dE/dt = d(Er + Ev)/dt = dEr/dt + dEv/dt = Pr + Pv. Power can be a scalar or a vector or both.
An earthquake is neither a scalar nor a vector. It is an event.
vector