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

28 views
in Physics
closed
check Wether the vector ((hati)/sqrt (2)+(hati)/sqrt(2)) is a unit vector or not .

by (84.1k points)
selected

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.

+1 vote