In the context of physical, is called vector to magnitude which is defined by its address, its point of application, its amount and its meaning. According to their characteristics, it is possible to speak of different classes of vectors.
In Latin it is where we can find the etymological origin of this term, which derives, exactly, from “vector – vectoris”, which can be translated as “the one who leads”.
The idea of resultant vector may appear when a operation from sum with vectors. Using the so-called polygonal method, the vectors to be added must be placed next to each other on a graph, making the origin of each vector coincide with the end of the next vector. It is called resultant vector to the vector that has origin coinciding with the first vector and ending at the end of the vector located in the last place.
VR is the acronym used to refer to the resulting vector that, like the rest of vectors, when it is analyzed requires that three elements that shape it be taken into account. We are referring to the following:
-The module, which is used to mention what the intensity of its magnitude is and which is represented by what is the size of the vector.
-The direction, which refers to what the inclination of the line is.
-The meaning, which has the particularity that it is represented by what is the head of the arrow of the vector in question.
Adding the vectors through this method implies move the vectors, causing them to be joined by their ends. Thus, we will take a vector and put it next to another, making the origin of one connect with the end of the other. The resulting vector “Born” at the origin of the first vector we take and “ends” at the end of the vector that we place in the last space.
Keep in mind that, to add vectors with the polygonal method, it is essential not to modify the properties– Vectors need only translate.
It is important to bear in mind that, when it comes to being able to undertake this sum that concerns us, what must be done is to resort to some fundamental elements in mathematics and algebra. We are referring to the X and Y coordinate axes. Basically, it is from these 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 the vectors that compose it. The vector that has the same direction and magnitude but the opposite direction is classified as a balancing vector.
This aforementioned balancing vector, which is also called VE, as we have mentioned has the opposite sense, it is opposite in what they are 180º.
In addition to those mentioned, there are many other types of vectors, such as coplanar, parallel, opposite, concurrent, collinear, fixed vectors …
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