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Temperature is a scalar quantity. It has magnitude but not direction.
In physics, gradient refers to the rate of change of a physical quantity (such as temperature or pressure) in a particular direction. It represents how steeply a physical quantity changes over a distance. Mathematically, gradient is calculated as the change in the quantity divided by the distance over which the change occurs.
Acceleration means the rate of change of velocity, that is it does not show the particular(specific) direction so it is a scalar quantity.
Angular frequency is a scalar quantity that represents the rate of change of an oscillating object with respect to time. It is measured in radians per second and is a scalar because it only has a magnitude and no direction associated with it.
The potential gradient is a vector quantity. It represents the rate of change of the scalar electric potential with respect to position in space.
Yes this happens in case of area. Usually area is a scalar quantity. But we provide the direction of course perpendicular to its plane area we make it as a vector. Same way though electric current is not a vector it is sensed as vector as we put along with length of conductor. I is scalar but Idl is vector.
the gradient of a scalar function of any quantity is defined as a vector field having magnitude equal to the maximum space rate of change of the quantity and having a direction identical with the direction of displacement along which the rate of change is maximum.
Acceleration is a vector quantity because it has magnitude (amount of change in velocity) and direction.
To make it easy, vector quantities have a direction aswell as a magnitude.While scalar quantities just have a magnitudeAn example of a scalar quantity is "Speed" and the vector quantity would be "Velocity"
Scalar gradient is a mathematical concept representing the rate of change of a scalar field. It measures how much a scalar quantity such as temperature or pressure changes at a specific point in space. The gradient of a scalar field points in the direction of the steepest increase of that scalar quantity.
The same as the original vector. The scalar will change the numbers, but not the dimensions.
Volume is a physical quantity not a change. However CHANGE in volume is a physical change.