Aunit vector is a vector with magnitude 1.

The magnitude of given vector is

`|(hati)/(sqrt(2)) +(hati)/(sqrt(2))|=sqrt (((1)/(sqrt(2)))^(2)+((1)/(sqrt(2)))^(2))=sqrt ((1)/(2)+(1)/(2))=sqrt(1)=1`

As magnitude of given vector is 1.

`therefore `It is a unit vector.