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Q: What is vector field?

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vector

Vector.

Vector field

An electric field is a vector quantity because it has direction and a magnitude. Electric field has a certain direction in which it acts.

Direction of the electric field vector is the direction of the force experienced by a charged particle in an external electric field.

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.

Scaler. The electric field is its vector counterpart.

no

in which field vector calculus is applied deeply

Charge is not a vector.

It is a way of representing the magnetic force at a point in the field. The magnitude and direction of the vector represents the strength and the direction of the magnetic force acting on a charged particle in the field.

Scaler. Its vector counterpart is the electric field.

It continues in a straight line at a constant speed in the absence of any other field except the B vector field parallel to its velocity vector.

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.

Yes, it is.

The poynting vector is that one which represents the directional energy flux density of the electromagnetic field.

Magnetic field induction at a point is defined as the FORCE experienced by a unit north pole placed at that point. Since force is a vector quantity, manetic field induction also becomes a vector quantitiy.

for a vector quantity it must have both magnitude and direction and since it has both magnitude and direction it is therefore considered a vector

A magnetic field is neither: it is a vector field with both direction and quantity.

Yes, it is.

scalar field and vector field

Scalar field and vector field.

Displacement, velocity, acceleration, force, torque, electric field are some examples of vector quantity.

Zero Dipole would set itself such that dipole moment vector is along the electric field vector

If you apply a magnetic field to matter (i.e. a piece of iron) then preexisting magnets on the atomic level align with the magnetic field. The strength on direct of this orientation is described by the magnetization vector.