In mathematics and physics, a scalar field associates a scalar value to every point in a space. The scalar may either be a mathematical number, or a physical quantity.

A scalar means that there is no direction associated to the number. The scalar number can be associated to a mass, a length, or a speed so as long as there is no direction associated to it. If there is a direction, than it becomes a vector.

Scalar product of two vectors is a scalar as it involves only the magnitude of the two vectors multiplied by the cosine of the angle between the vectors.

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.

scalar lol