Decomposition of Vector by Basis

A vector is an element of vector space. Collinear vectors belong to one or two parallel lines. They can be oppositely or co-directed. From any arbitrarily chosen point in space, any vector can be laid in one way.

Basis of Plane – two non-collinear vectors, i.e. – linearly independent. It should be understood that any vector of a given plane is a linear combination of basis vectors. If there are two given non-collinear vectors on the plane, any other vector belonging to this plane can be decomposed into the first two, i.e. – by basis. To perform the operation, you can use the online calculator. This will simplify the task.