Question

What is basis vector?

Answer 1

Basis Vectors:

If there exist a set A of elements such that all the elements of a vector space V can be represented as finite linear combination of elements of set A.Then the elements of set A are called as basis vector.

Example:

In three dimensional space , any vector R can be represented as

R = Rx i + Ry j + Rz

​​Here Rx, Ry and Rz are x, y and z components of vector R.

i , j ,k are the unit vector in x ,y , and z direction.

In three dimensional space all the vectors can be expressed in terms of i,j and k.​​​​​Thus i,j,and k are basis vectors.