What is concurrent vectors?

Vector is a concept with many uses. In this case, we are interested in its meaning in the field of physics, which indicates that a vector is a quantity defined by its value, its direction, its direction and its point of application. Simultaneous, on the other hand, is one that concurs (that is, that meets or coincides with something else).

Vectors can be classified in different ways according to their characteristics. Those vectors that cross the same point are called concurrent vectors. Due to the fact that passing through this point creates an angle, concurrent vectors are also called angular vectors.

Suppose two helicopters take off from the same point. One of the aircraft is heading east and the other is heading west. Both helicopters perform a route that can be represented by a vector; having the same point of application, they are concurrent vectors. Take the case of an architect who designs a window in a room. In the plane, to represent the window, it takes a rectangle with four vectors: A , B , C and D . According to the above, we can say that A and B , B and C , C and D , and D and A are concurrent vectors, since they intersect. However, A and C are not simultaneous vectors, nor are B and D. One of the aspects that makes vectors so unique in the field of physics is that they not only represent an isolated value, but also combine a length with an orientation, which is why they are such versatile tools, with so many applications in different fields. As can be deduced from the previous paragraphs, the vectors can be used both in two-dimensional and three-dimensional spaces, and these are the last ones where we can find them more often: the examples shown above show a case between three dimensions (the helicopters) and the other in the two (the window). Taking advantage of the aforementioned versatility of vectors and their different fields of application, let’s think of an example that complements the two previous ones. In this case, they will not represent the movement of a vehicle or a series of segments traced to find a suitable drawing: they will be two or more strings that pull an object, from the same point. If we tie a rope around a heavy box and let its two ends emerge from the knot, we can share its weight with someone else, as each can pull one of the ropes. In this case, the concurrent vectors clearly show us the concept of vector sum, because although there are two different orientations and forces, the box will only move in one direction.

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In the second image, it can be seen that from the same starting point of the two competing vectors drawn in red, a third one appears, concurrent to both, which indicates the direction in which the object tied to the rope is pulled by two people. to move. The formula to calculate the value of this new vector is also in the image: just add the corresponding components. To represent the sum graphically, the parallelogram method can be used: it consists of drawing two lines, each one parallel to one of the vectors and the other passing through the end, so that when they cross, they intersect at a point that serves to close the figure. This point will be the end of the new vector. In addition to the concurrent vectors, other classes of vectors are the unit vectors, the collineal vectors, the coplanar vectors, the parallel vectors and the opposing vectors.

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