**Vector** It is a concept with several meanings. If we focus on the field of **physical**, we find that a vector is a **magnitude** defined by its meaning, its direction, its amount and its point of application.

Adjective **coplanar**, on the other hand, is used to qualify the lines or figures that are in a **same plane**. It is important to mention, however, that the term is not correct from a grammatical point of view and, therefore, does not appear in the dictionary that elaborates the **Royal Spanish Academy** (**RAE**). This entity mentions, instead, the word **coplanar**.

The vectors that are part of the same plane, in this way, are **coplanar vectors**. On the other hand, the vectors that belong to different planes are called **non-coplanar vectors**.

Therefore, it is established that non-coplanar vectors, as they are not in the same plane, it is essential to resort to three axes, to a three-dimensional representation, to expose them.

To find out if the vectors are coplanar or not coplanar, it is possible to use the **operation** It is known as **mixed product** or **triple dot product**. If the result of the mixed product **is different from 0**, the vectors are non-coplanar (the same as the **points** that unite).

Following the same reasoning, we can affirm that when the **result** of the triple scalar product is **equal to 0**, the vectors in question are coplanar (they are in the same plane).

Take the case of vectors *A (1, 2, 1)*, *B (2, 1, 1)* Y *C (2, 2, 1)*. If we perform the triple dot product operation, we will see that the result is *one*. Being different from *0*, we are in a position to argue that it is **non-coplanar vectors**.

It is also important to know, when working and studying vectors, be they non-coplanar or of any other type, that they have four fundamental characteristics or signs of identity. We are referring to the following:

-The module, which is the size of the vector in question. To determine it, it is necessary to start from what is its extreme and the point of application.

-The sense, which can be of very different types: up, down, horizontal to the right or left … It comes to be determined, of course, based on the arrow at one of its ends.

-The point of application, already mentioned above, which is the origin from which the vector works.

-The direction, which is the orientation acquired by the line in which the vector in question is located. In this case, we can determine that said direction can be horizontal, oblique or vertical.

In many scientific and mathematical areas, these vectors, coplanar and non-coplanar, are used, but also many others that exist. We are referring to the concurrent, the collinear, the unitary, the angular, the free …

With any of these, operations such as sums or even products can be carried out, which will be undertaken using the different existing methods and procedures.

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