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

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 .

The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk and is coplanar with the vectors 2hati+hatj+hatk and hati-hatj+hatk is (A) (2hati-6hatj+hatk)/sqrt(41) (B) (2hati-3hatj)/sqrt(3) (C) 3hatj-hatk)/sqrt(10) (D) (4hati+3hatj-3hatk)/sqrt(34)

The angle between the vector -hati+hatj and 2 hati+3hatj is :