# What are non-coplanar vectors?

The vector is a concept with several meanings. If we focus on the field of physics, we will find that a vector is a quantity defined by its direction, its direction, its quantity and its point of application.

The adjective coplanar, in turn, is used to describe lines or figures that are in the same plane. It is important to mention, however, that the term is not grammatically correct and, therefore, does not appear in the dictionary of the Real Academia Española (RAE). Instead, this entity mentions the word coplanar. The vectors that are part of the same plane, therefore, are coplanar vectors. Instead, vectors that belong to different planes are called non-coplanar vectors.

It is established, therefore, that non-coplanar vectors, as they are not in the same plane, it is essential to go to three axes, for a three-dimensional representation, to expose them. To find out whether vectors are coplanar or non-coplanar, it is possible to use the operation known as mixed product or triple scalar product. If the mixed product result is different from 0 , the vectors are non-coplanar (equal to the join points). Following the same reasoning, we can say that when the result of the triple dot product is equal to 0 , the vectors in question are coplanar (they are in the same plane). Consider the case of vectors A (1, 2, 1) , B (2, 1, 1) and C (2, 2, 1) . If we perform the triple dot product operation, we will see that the result is 1 . Being different from 0 , we can say that they are non coplanar vectors . It is also important to know, when working and studying vectors, whether they are non-coplanar or of any other type, that they have four fundamental characteristics or signs of identity. We are referring to the following: