It is the rate of change in the vector for a unit change in the direction under consideration. It may be calculated as the derivative of the vector in the relevant direction.
Vector.
Direction of the electric field vector is the direction of the force experienced by a charged particle in an external electric field.
Gradient= change in field value divided by the distance
Charge is not a vector.
When one refers to the strength of a magnetic field, they're usually referring to the scalar magnitude of the magnetic field vector, so no.
Because Electric field can be expressed as the gradient of a scalar. Curl of a gradient is always zero by rules of vector calculus.
it used in our practical life.. for ex. in hills r in mountains
In the name of God; It must be mentioned that a vector has two important characteristics; 1- direction and 2- quantity. in other word for identification a vector these two characteristics must be defined. for example when we speak about displacement of a body it must has direction and quantity. but about gradient, it has a general mean: difference. Also a specified mean may be defined for it: "any increase or decrease in a vector or scalar field". it is a vector field.
it is scalar
what do you mean by gradient of a scalar field? what do you mean by gradient of a scalar field?
It stands for gradient vector flow.
Conservative vector force is the result of the gradient of energy. Gravitational vector force is the result of the gradient of -GmM/r = -mu/r.
The 'upside down' triangle symbol is the (greek?) letter Nabla. Nabla means the gradient. The gradient is the vector field whoose components are the partial derivatives of a function F given by (df/dx, df/dy).
Gradient= Change in field value/Distance
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.
Vector.
no