A unit vector in the xy-plane that makes an angle of `pi/4` with the vector `hati+hatj` and an angle of with the vector `3hati-4hatj` is

A unit vector in the xy-plane that makes an angle of pi/4 with the vector hati+hatj and an angle of 'pi/3' with the vector 3hati-4hatj is

Unit vector in the xyplane that makes and angle of 45^0 with the vector hati+hatj and an angle of 60^0 with the vector 3hati-4hatj is (A) hati (B) (hati+hatj)/sqrt(2) (C) (hati-hatj)/sqrt(2) (D) none of these

A unit vector in xy-plane that makes an angle of 45^0 with the vector hati+hatj and angle of 60^0 with the vector 3hati-4hatj is (A) hati (B) (hati+hatj)/sqrt(2) (C) (hati-hatj)/sqrt(2) (D) none of these

A unit vector in xy plane makes an angle of 45^(@) with the vector hati+hatj and an angle of 60^(@) with the vector 3hati-4hatj is a) hati b) (hati+hatj)/(sqrt(2)) c) (2hati+hatj)/(sqrt(2)) d)None of these

Find a unit vector in XY plane which makes an angle 45^(@) with the vector hati + hatj at angle of 60^(@) with the vector 3 hati - 4 hatj.