Question

check Wether the vector `((hati)/sqrt (2)+(hati)/sqrt(2))` is a unit vector or not .

Answer 1

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.