In the context of physics, vector is the magnitude defined by its direction, its point of application, its quantity and its sense. According to their characteristics, it is possible to talk about different classes of vectors.
The etymological origin of this term is found in Latin, which derives exactly from “vector – vectoris”, which can be translated as “he who leads”. The resulting vector idea can appear when performing the vector sum operation. Using the method called polygonal , the vectors to be summed must be placed side by side on a graph, making the origin of each vector coincide with the end of the next vector. The resulting vector is called a vector that has an origin coincident with the first vector and that ends at the end of the vector located at the last position.
VR is the acronym used to refer to the resulting vector that, like the rest of the vectors, when analyzed requires that three elements that configure it be taken into account. We are referring to the following:
-The modulus, which is used to mention what is the intensity of its magnitude and which is represented by what is the size of the vector.
-The direction, which refers to what the slope of the line is.
-The meaning, which has the particularity of being represented by what is the arrowhead of the vector in question. Adding vectors using this method involves translating the vectors, causing them to be joined at their endpoints. So, let’s take one vector and place it next to the other, making the origin of one connect with the end of the other. The resulting vector “starts” at the origin of the first vector we took and “ends” at the end of the vector we put in the last space. Remember that, to add vectors with the polygonal method, it is essential not to modify the properties: the vectors must only be translated. It is important to keep in mind that, when it comes to realizing this amount that concerns us, what we must do is resort to some fundamental elements of mathematics and algebra. We are referring to the X and Y coordinate axes. Basically, it is from them and their corresponding sums that the resulting vector will be obtained. We also speak of a resultant vector with reference to that which, in a system, generates the same effect as its component vectors. A vector that has the same direction and magnitude but the opposite direction is classified as an equilibrium vector. This balancing vector already mentioned, which is also called VE, as we have already mentioned, has the opposite direction, it is the opposite in what are 180º.
In addition to those mentioned, there are many other types of vectors, such as coplanar, parallel, opposite, concurrent, collinear, fixed vectors…