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.`

Find the unit vector which makes an angle of 45^(@) with the vector 2hati+2hatj-hatk and an angle of 60^(@) with the vector hatj-hatk .

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

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

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

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