Advanced Mathematics

Introduction 

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied by numbers, called scalars in this context. 

To put it really simple, vectors are basically all about directions and magnitudes. These are critical in basically all situations. 

In physics, vectors are often used to describe forces, and forces are added in the same way as vectors. 

For example, in Classical Mechanics: Block sliding down a ramp, you need to calculate the force of gravity (a vector down), the normal force (a vector perpendicular to the ramp), and a friction force (a vector opposite the direction of motion).