If a → = ( 1 , 1 , 0 ) , b → = ( 1 , 1 , 1 ) , then unit vector in the plane of a → and b → and perpendicular to a → is

Step-by-step solution

Let, u →   =  x i ^ + y j ^ + z k ^ is the required vector u →   =   x 2 + y 2 + z 2 = 1 , since it is a unit vector Vectors in option 1 and 3 are the only units vectors Also, a → is perpendicular to the vector so there dot product must be zero Only a → . k ^   =   0 Hence, options 3 is the correct answer.