###### Answer: A force has a magnitude and a direction.

Forces act in a particular direction and have sizes dependent upon how strong the push or pull is. Because of these characteristics forces are classified as “vector quantities”. This means that forces follow a different set of mathematical rules than physical quantities that do not have direction (denoted scalar quantities).

In science and engineering the weight of an object is the force acting on the object due to gravity. Some standard textbooks define weight as a vector quantity the gravitational force acting on the object. Others define weight as a scalar quantity the magnitude of the gravitational force.

Force – Wikipedia

Material derivative – Wikipedia

Velocity – Wikipedia

Velocity – Wikipedia

A vector is a mathematical object that has a size called the magnitude and a direction. It is often represented by boldface letters or as a line segment from one point to another. For example a vector would be used to show the distance and direction something moved in. When asking for directions if one says “Walk one kilometer towards the North” that would be a vector but if they say “Walk one kilometer” without showing a direction then that would be a scalar. We …

In the eighteenth century a new quantity was devised to simplify the bookkeeping of all these gravitational forces . This quantity the gravitational field gave at each point in space the total gravitational acceleration which would be felt by a small object at that point. This did not change the physics in any way: it did not matter if all the gravitational forces on an object were calculated …

The magnetic interaction is described in terms of a vector field where each point in space is associated with a vector that determines what force a moving charge would experience at that point (see Lorentz force). Since a vector field is quite difficult to visualize at first in element…