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Concurrent Vectors

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Vector It is a concept with several uses. In this case, we are interested in your meaning in the field of physical , which indicates that a vector is a magnitude defined by its value, its meaning, its direction and its point of application. Concurrent , on the other hand, is that which concurs (that is, that joins or coincides with something else).

Vectors can be classified differently according to their characteristics . Is called concurrent vectors to those who cross the same point . Because, by passing through that point they give rise to the creation of an angle, the 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 make a route that can be represented with a vector; having the same point of application, these are concurrent vectors.

Take the case of an architect who draws the window of a room. At flat , to represent the window, make a rectangle with four vectors: TO , B , C and D . As stated above, we can say that A and B , B and C , C and D , and D and A they are concurrent vectors, as they intersect. Instead, TO and C they are not concurrent vectors, nor are they B and D .

One of the aspects that makes vectors so unique within the field of physics is that they not only represent an isolated value, but that combine a length with an orientation , and it is thanks to this that 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 in both two-dimensional and three-dimensional spaces, and it is in the latter where we find them most often: the examples set out above show a case in three dimensions (helicopters) and another in two (window).

Using the aforementioned versatility of vectors and their many fields of application, let's think of an example that complements the previous two. In this case, they will not represent the movement of a vehicle or a series of segments drawn to find a suitable design: they will be two or more ropes that pull an object, from the same point.

If we tie a rope around a heavy box and let the two ends of the knot emerge, we can share its weight with another person, since each can pull one of them. In this case, the concurrent vectors clearly demonstrate the concept of sum vector, because although there are two different orientations and forces, the box will only move in one direction .

In the second image it can be seen that from the same starting point of the two concurrent vectors drawn in red, a third, concurrent to both, emerges, indicating the address in which the object tied with the rope and pulled by two people would move.

The formula for calculating the value of this new vector is also found in the image: simply add the components corresponding.

To graph the sum, it is possible to use the method of parallelogram : consists of drawing two lines, each parallel to one of the vectors and passing through the other, so that when they intersect they intersect at a point that serves to close the figure. This point will be the end of the new vector.

Beyond concurrent vectors, others lessons of vectors are the unit vectors , the collinear vectors , the coplanar vectors , the parallel vectors and the opposite vectors .

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