In mathematics, a field is a set with certain operators (such as addition and multiplication) defined on it and where the members of the set have certain properties.
In a vector field, each member of this set has a value AND a direction associated with it. In a scalar field, there is only vaue but no direction.
name as many scalar fields and vector fields as u can?
Both, E=Es + Ev = cB therefore, B= Es/c + Ev/c = Bs + Bv. The electric and magnetic fields are quaternion fields consisting of a scalar field and a vector field. Contemporary Physics has not realized this yet. Correct Relativity Theory is a manifestation of quaternion fields, consisting of a scalar field and three vector fields. This shows up in the Energy Momentum four vector, E= Es +cmV. Actually the Lorentz Force is both scalar and vector: F=qvB = - qv.B + qvxB it makes no sense consider only qvxB and to ignore qv.B.
A scalar times a vector is a vector.
Scalar field and vector field.
vector
Richmond Beckett McQuistan has written: 'Scalar and vector fields: a physical interpretation' -- subject(s): Scalar field theory, Vector analysis
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.
An earthquake is neither a scalar nor a vector. It is an event.
vector
vector
Yes, you can multiply a vector by a scalar. The scalar will multiply each component of the vector by the same value, resulting in a new vector with each component scaled by that value.