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

Question

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

MARKS App · Accepted Answer

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.

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